Statistics Questions

10 points Lottery Every day Jorge buys a lottery ticket Each ticket has a probability of 0 2 of winning a prize After five days what is the probability that Jorge has won at least one prize Round your answer to four decimal places

Determine whether the number described is a statistic or a parameter The average GPA of all freshmen at a certain college is 2 88

Question 1 of 10 An ice cream shop s goal is to sell a mean of 45 ice cream cones per day In one week it sold the following numbers of ice cream cones each day 54 45 33 39 48 40 31 How many more ice cream cones would it have had to sell during the week to meet its goal OA 35 OB 15 C 25 O D 5

Listed below are amounts of court fine revenue and salaries paid to the town justice All amount are in thousands of dollars and all of the towns are in Dutchess County New York 354041567 30 44 92 56 46 61 25 a Create a scatterplot of the data Use court income as the explanatory variable and justice salary as the response variable Is there is a linear correlation between court incomes and justice salaries Yes No 0 864 Court Income 74 7 Justice Salary S 27 701 b If there is a linear relationship what is the correlation coefficient Round to 3 decimal places ON 404 1567 1131 272 252 c What is R squared Answer as a percent and round to 1 decimal place 0 111 0 037 154 32 d Find the linear regression equation Fill in the equation below rounding to 3 decimal places represents court income and S justice salary 26 18 0 1 e Predict the justice salary for a court income of 800 000 Answer with units in dollars and round to nearest dollar f Calculate the residual of the court with income of 1 131 000 Round to 3 decimal places g Calculate the residual for the court with income 404 000 Round to 3 decimal places

What regression model does this data fit Determine the trendline based on this model 7234x 1 3 5 6 y 4 11 28 59 140 300

minutes to charge a standard electric vehicle EV battery A firmware update for this type of supercharger was recently released but the update has received negative reviews from users A researcher suspects the mean time the updated superchargers take to charge a standard EV battery is greater than 13 8 minutes To test his claim he chooses 23 of the updated superchargers at random and measures the time it takes each one to charge a standard EV battery He finds that the superchargers take a sample mean of 14 1 minutes to charge a standard EV battery with a sample standard deviation of 3 3 minutes Assume that the population of amounts of time to charge a standard EV battery using the updated superchargers is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 13 8 minutes a State the null hypothesis H and the alternative hypothesis that you would use for the test Ho H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed Step 3 Enter the test statistic Round to 3 decimal places 0 0 Step 4 Shade the area represented by the p value Step 5 Enter the p value Round to 3 decimal places x X b Perform a test and find the p value Here is some information to help you with your test OSO The value of the test statistic is given by 020 0 0 0 0 O The p value is the area under the curve to the right of the value of the test statistic 0 3 054 S 01 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the researcher Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 13 8 minutes Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 13 8 minutes Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 13 8 minutes Since the p value is greater than the level of significance the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than 13 8 X 5

Given the following events A likes spicy food B uses hot sauce How should you analyze the conditional probability P A B OFirst consider the people that use hot sauce then find the probability that they like spicy food O First consider the people that like spicy food then find the probability that they use hot sauce O First find the probability that someone uses hot sauce then find the probability that someone likes spic O First find the probability that someone likes spicy food then find the probability that they use hot sauce

In a certain community it is known that 6 472 of the 8 713 total residents receive enough iron in their diets You belle that a lower proportion of residents in low income households receive enough iron in their diets and decide to test this hypothesis with a significance level of 0 01 You sample 84 residents from low income households and determin that 31 receive enough iron in their diets Which of the following statements are true Select all that apply Het p po n 84 D 1 645 The sample size is insufficient to perform the test You should reject the null hypothesis Alpha a a 0 1 0 05 0 01 2 1 28 1 645 1 645 1 96 2 33 2 575

To determine if the heights of basketball players and the heights of football players is the same a researcher conducts a t test The researcher calculates the t value as 1 42 Given that the tabulated value of t at a 5 level of significance for 10 degrees of freedom is 2 23 what can the researcher claim The heights of the basketball and football players is the same because 0 71 2 23 O The heights of the basketball and football players is not the same because 0 71 2 23 O The heights of the basketball and football players is the same because 1 42 2 23 O The heights of the basketball and football players is not the same because 1 42 2 23

At a factory the probability that a pair of sunglasses will have a scratch on the lens is 0 03 A manager randomly selects a pair of sunglasses to inspect at irregular intervals What is the probability that a manager will encounter a scratched pair of sunglasses on the fourth inspected pair of the day 0 274 0 120 0 885 0 312 Jy

For a flash drive there is a memory capacity of 2 GB 4 GB 8 GB and 16 GB and there are five colors What is the of selecting a 4 GB flash drive assuming that the probabilities of selection are the same for all options probability O 15 0

Suppose you have a bag containing 5 white marbles 8 black marbles 4 red marbles and 9 green marbles You draw a single marble record the color and then place the marble back into the bag You do this 10 times in total After the final time you count your observations and see that you drew a black marble 3 times Using what you know about theoretical probabilities was this likely to occur Explain

5 Find an orthogonal or unitary diagonalizing matrix for each of the following a 2 39 2 i 0 c i 20 002 1 b 3 i d 3 i 3 2 2 3

If a student was selected at random Wha probability of choosing one who takes both math and English class answer the question in the simplest fractional form If a student was selected at random what is a possibilit at two scene one who takes Both math or English class answer the question in the simplest fractional form Math 15 12 3 5 Sciences 23 2 English

A group of students was asked what music genres they enjoyed The responses are displayed in the table below What is the probability that a student likes jazz or folk music Jazz Rock Folk Christian Bob Boris Carlos D nay Elicia Fred Fred George Ana Ana Boris Carlos Carlos D nay 0 714 O 1 000 0 286 0 667

Five thousand tickets are sold at 1 each for a charity raffle Tickets are to be drawn at random and monetary prizes awarded as follows 1 prize of 900 3 prizes of 100 5 prizes of 50 and 20 prizes of 5 What is the expected value of this raffle if you buy 1 ticket Let X be the random variable for the amount won on a single raffle ticket EX dollars Round to the nearest cent as needed KIIB

greater than 3 2 people For a random sample of 29 households in the city the households had a sample mean size of 3 5 people with a sample standard deviation of 0 6 people Assume that the population of household sizes in the city is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean household size in the city is greater than 3 2 people a State the null hypothesis H and the alternative hypothesis that you would use for the test H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed O Two tailed Step 3 Enter the critical value s Round to 3 decimal places Step 4 Enter the test statistic Round to 3 decimal places b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test 10 10 is the value that cuts off an area of 0 10 in the right tail The value of the test statistic is given by t 0 4 03 02 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean household size in the city is greater than 3 2 people H S n Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean household size in the city is greater than 3 2 people Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean household size in the city is greater than 3 2 people O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean household size in the city is greater than 22 people X 0 0 OSO 0 0 020 0 0 PO X c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by Deshaun 5

An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2 The engineer wants to estimate the difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2 The engineer studies a random sample of 12 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2 These samples are chosen independently The plants grown with Add1 have a sample mean yield of 112 9 tomatoes with a sample variance of 639 5 The plants grown with Add2 have a sample mean yield of 153 1 tomatoes with a sample variance of 3262 9 Assume that the two populations of yields are approximately normally distributed Let be the population mean yield of tomato plants grown with Add1 Let be the population mean yield of tomato plants grown with Add2 Construct a 95 confidence interval for the difference Then find the lower and upper limit of the 95 confidence interval Carry your intermediate computations to three or more decimal places Round your answers to two or more decimal places If necessary consult a list of formulas Lower limit Upper limit 8 X

developed a new surgical procedure He wants to estimate the difference between the mean recovery time of patients who have the new procedure and the mean recovery time of patients who have the standard procedure The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 9 patients who have the standard procedure These samples are chosen independently The doctor records each patient s recovery time in days The patients who had the new procedure have a sample mean recovery time of 320 2 with a sample variance of 1968 8 The patients who had the standard procedure have a sample mean recovery time of 350 1 with a sample variance of 422 1 Assume that the two populations of recovery times are approximately normally distributed Let be the population mean recovery time of patients who have the new procedure Let be the population mean recovery time of patients who have the standard procedure Construct a 99 confidence interval for the difference Then find the lower and upper limit of the 99 confidence interval Carry your intermediate computations to three or more decimal places Round your answers to two or more decimal places If necessary consult a list of formulas Lower limit Upper limit X

annual Monaco Endurance Race This would be an improvement on the previously accepted value of 6200 calories A study of 19 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6185 with a sample standard deviation of 845 calories Assume that the population of numbers of calories burned by professional cyclists during the race is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6200 a State the null hypothesis and the alternative hypothesis that you would use for the test Ho Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed H Step 3 Enter the test statistic Round to 3 decimal places 0 0 b Perform a test and find the p value Here is some information to help you with your test Step 4 Shade the area represented by the p value The value of the test statistic is given by t Step 5 Enter the p value Round to 3 decimal places x X O 0 O 020 0 0 0 0 The p value is the area under the curve to the left of the value of the test statistic 5 x S 94 03 t 92 2011 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the sports science group Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6200 Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6200 Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6200 X Since the p value is greater than the level of significance the null hypothesis is not rejected So

changes He claims that the mean household size in the city is now greater than 3 2 people For a random sample of 29 households in the city the households had a sample mean size of 3 5 people with a sample standard deviation of 0 6 people Assume that the population of household sizes in the city is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean household size in the city is greater than 3 2 people a State the null hypothesis H and the alternative hypothesis that you would use for the test H 0 The value of the test statistic is given by S n Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed O Two tailed Step 3 Enter the critical value s Round to 3 decimal places Step 4 Enter the test statistic Round to 3 decimal places 0 4 0 10 is the value that cuts off an area of 0 10 in the right tail 0 3 02 b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you ith your test 0 1 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean household size in the city is greater than 3 2 people Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean household size in the city is greater than 3 2 people H Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean household size in the city is greater than 3 2 people D Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to 20 X X x OSO 0 0 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by Deshaun X O O DO 5

Arrange these events in the order in which they occur in the story Rue is killed FIRST SECOND Thresh allows Katniss to live THIRD Katniss finds Peeta FOURTH Katniss loses hearing in one

resilience In examining the effects of radiation on organisms an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy grays For comparison humans cannot withstand more than 10 Gy A random sample of 19 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1325 Gy with a sample standard deviation of 75 Gy Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 05 level of significance to support that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1350 Gy a State the null hypothesis H and the alternative hypothesis that you would use for the test Ho H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed O Two tailed b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test Step 3 Enter the critical value s Round to 3 decimal places Step 4 Enter the test statistic Round to 3 decimal places T H 10 025 is the value that cuts off an area of 0 025 in the right tail The value of the test statistic is given by S 04 03 02 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1350 Gy H X Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1350 Gy 0 0 000 O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1350 Gy 20 0 0 0x0 O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean amount of X 3 c Based on your answer to part b choose what can be concluded at the 0 05 level of significance about the claim made by the expert S TEHS An M

7 Netflix has changed its pricing model to restrict users from sharing their account It now has a base subscription cost of 5 per month and an additional fee of 3 for every additional IP address linked to the account a Write a linear function that describes the pricing model Clearly define all variables b How much will it cost to have 7 additional IP addresses on your account If you have to pay 25 a month to Netflix how many IP addresses would be G linked to your account

C 6 A Substance loses 25 of its total mass every 15 years If you start with 5mg of the substance how much will be present after 100 years

8 Identify the growth decay in each scenario as either linear or exponential Explain your Reasoning a The Half life of Carbon 14 is about 5 730 years b The population of an Ant population doubles every 2 years C The Value of my car decreases by 700 each year

Petal Length Plant Height 1 3 2 7 3 4 4 1 Graph this dataset in the scatterplot above 2 Describe the relationship between the two variables Petal Length Plant Height 5 6 7 8 9 10 11 12 13 14 15 8 5 9 2 6 4 10 3 7 5 9 2 3 The linear model that goes with this dataset is Plant Height 0 267 Petal Length 4 533 Interpret the slope and y intercept of this linear model in context

70 Twenty students participated in a psychology experiment which measured their heart rates in two different situations 70 75 75 8 80 80 85 90 situation A 85 90 situation B 95 95 100 100 105 105 4 What measure of center and measure of variability would you use to describe these graphs 5 Which situation A or B produced a higher average heart rate Refer back to your measure s of center or variability from the previous question

Tardigrades or water bears are a type of micro animal famous for their resilience In examining the effects of radiation on organisms an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 800 Gy grays For comparison humans cannot withstand more than 10 Gy A study was conducted on a sample of 15 randomly selected tardigrade colonies finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 820 Gy with a sample standard deviation of 42 Gy Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 800 Gy a State the null hypothesis H and the alternative hypothesis that Ho you would use for the test Ho H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed LL Step 3 Enter the test statistic Round to 3 decimal places 0 0 Step 4 Shade the area represented by the p value b Perform a test and find the p value Here is some information to help you with your test Step 5 Enter the p value Round to 3 decimal places X X The value of the test statistic is given by f OSO D O 0 0 00 The p value is two times the area under the curve to the right of the value of the test statistic S n 104 03 0 2 1117 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the expert Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 800 Gy Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 800 Gy Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 800 Gy Since the p value is greater than the level of significance the null hypothesis is not rejected So X S 5 9 A M

Two popular brands of tires for tractor trailers are the Puma and the Eternal Kala is a buyer for a major shipping company and wants to estimate the difference between the mean distance in thousands of km driven on Puma tires before they need to be replaced and the mean distance in thousands of km driven on Eternal tires before they need to be replaced In the company s testing lab Kala tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires These samples are chosen independently For each tire she logs the distance driven in thousands of km before the tire would need to be replaced These data are shown in the table Puma 56 5 57 0 49 1 60 5 54 3 61 0 51 4 51 3 53 8 53 0 47 7 47 6 57 8 57 6 Distances in thousands of km Eternal 57 0 55 5 51 8 58 7 60 5 53 4 44 9 34 1 57 8 38 8 52 0 49 9 31 5 56 8 54 0 Send data to calculator V Assume that the two populations of distances driven are approximately normally distributed Let be the population mean distance in thousands of km driven on Puma tires before they need to be replaced Let be the population mean distance in thousands of km driven on Eternal tires before they need to be replaced Construct a 95 confidence interval for the difference Then find the lower and upper limit of the 95 confidence interval Carry your intermediate computations to three or more decimal places Round your answers to two or more decimal places If necessary consult a list of formulas Lower limit Upper limit X M

7 Now we will think like a sociologist We are interested in determining whether there is a relationship i e independent or dependent variables between gender and getting in trouble at school Below is the table documenting the frequency counts of boys and girls and their respective behavior issues or lack thereof Boys Girls Total Got in Trouble 46 37 83 7 Did Not Get in Trouble 71 83 154 Total 117 120 237 Show your work here and come up with a conclusion about these variables using the methods discussed in chapter 11

2 Find the three arithmetic means between 1 and 69 1 69 O 14 38 49 O 23 40 46 O 18 35 52 O 17 37 54 O None of these are correct

ANFL National Football League study was conducted to investigate the relationship between total team salary x in millions of dollars and the number of wins y out of 16 regular season games The following regression equation was obtained y 1 783 0 0621 a Which is the correct interpretation of the slope of the line For every 1 million more in team salary the number of wins increases by 0 062 O For every 0 062 million more in team salary the number of wins decreases by 1 783 For every 1 783 million more in team salary the number of wins decreases by 0 062 For every 1 million more in team salary the number of wins increases by 1 783 b A team spent 60 million on team salary and its residual was 1 503 How many games did they actually win

of times they cough in a day Suppose the number of cigarettes a person smokes in a day is our x variable and the number of times they cough in a day is the y variable a The number of cigarettes smoked in a day acts as the Ocorrelation coefficient O response variable explanatory variable truc variable b The number of coughs in a day acts as the truc variable response variable explanatory variable Ocorrelation coefficient Suppose that we have the following data 9 Cigarettes 2 5 7 3 24 33 11 Z 10 11 8 3 2 Coughs 5 12 13 19 6 52 68 20 16 24 30 15 5 1 Looking at the scatterplot is a linear regression appropriate for this c Use StatCrunch to create a scatterplot data sot No the data shows randomness No the data follows a curved line Instead of a straight line Yes the data seems to follow a lincar trend d Use StatCrunch to find the equation of the regression Line What is the sloper Round to 3 decimal places c What is the y Intercept Round to 3 decimal places What is the correlation coefficient Round to 2 decimal places R What level of correlation strength does this correlation coefficient suggest between these variables strong negative moderate negative moderate positive Owcak positive strong positive Oweak negative h What is the coefficient of determination 2 Answer as a percent and round to 1 decimal place 1 Which is the interpretation of this I 98 0 of the variability in the number of times a person coughs in a day is explained by the number of cigarettes they smoke 98 0 of the variability in the number of cigarettes a person smokes in a day is explained by the number of times they cough in a day About 0 980 of the variability in the number of cigarettes a person smokes in a day is explained by the number of times they cough in a day 00 980 of the variability in the number of times a person coughs in a day is explained by the number of cigarettes they smoke 1 If a person smokes 30 cigarettes in a day predict the number of times they will cough Round to 3 decimal places

Suppose the number of cigarettes a person smokes in a day is our x variable and the number of times th cough in a day is the y variable a The number of cigarettes smoked in a day acts as the O correlation coefficient Dresponse variable O explanatory variable truc variable b The number of coughs in a day acts as the truc variable response variable O explanatory variable correlation coefficient Suppose that we have the following data Cigarettes 2 5 7 Coughs 5 12 13 c Use StatCrunch to create a scatterplot data set 9 No the data shows randomness No the data follows a curved line Instead of a straight line Yes the data seems to follow a linear trend c What is the y Intercept Round to 3 decimal places xx 3 24 33 11 Z 6 52 68 20 6 Looking at the scatterplot is a linear regression appropriate for thi d Use StatCrunch to find the equation of the regression Linc What is the slope Round to 3 decimal places strong negative O moderate negative moderate positive f What is the correlation coefficient Round to 2 decimal places Owcak positive Ostrong positive O weak negative g What level of correlation strength does this correlation coefficient suggest between these variables 1 Which is the interpretation of this I 3 2 10 11 8 24 30 15 5 1 h What is the coefficient of determination It Answer as a percent and round to 1 decimal place 98 0 of the variability in the number of times a person coughs in a day is explained by the number af cigarettes they smoke 95 0 of the variability in the number of cigarettes a person smokes in a day is explained by the number of times they cough in a day About 0 980 of the variability in the number of cigarettes a person smokes in a day is explained by the number of times they cough in a day 0 980 of the variability in the number of times a person coughs in a day is explained by the number of cigarettes they smoke 1 If a person smokes 30 cigarettes in a day predict the number of times they will cough Round to 3

that migrate between Alaska and New Zealand travel a mean distance of 11 375 km non stop The past several years more godwits than usual have been observed breeding in the southernmost regions of Alaska Because of this a researcher claims the godwits are now traveling a shorter mean distance non stop To test this claim he studied 25 randomly chosen godwits that migrated between Alaska and New Zealand The birds traveled a sample mean distance of 11 125 km non stop with a sample standard deviation of 425 km Assume that the population of distances traveled non stop between Alaska and New Zealand by godwits is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km a State the null hypothesis H and the alternative hypothesis that you would use for the test H H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed Step 3 Enter the critical value s Round to 3 decimal places 0 10 is the value that cuts off an area of 0 10 in the right tail The value of the test statistic is given by H S n Step 4 Enter the test statistic Round to 3 decimal places t b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test 04 03 Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km 01 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean distance godwits travel non stop between Alaska and New Zealand is now less than 11 375 km O O OSO O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to x 7 020 0 0 X X c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the researcher X 0 0 3 5

1 2 A jar contains 15 red 25 blue 35 orange and 45 pink marbles A marble is drawn at random P pink 3 5 6 4 A jar contains 9 orange and 15 white marbles A marble is drawn at random P white 7 8 9 one marble is chosen what is the probability that it will be les in a bag and 25 of them are green If green C A jar contains 12 black 35 blue 45 yellow and 34 green marbles A marble is drawn at random P not green des A number from 21 to 41 is drawn at random P a prime number estive You roll a die numbered from 1 to 6 P an odd number 3 A number from 55 to 75 is drawn at random P a number divisible by 5 lazdub to LAURENT SOILLES uz vus to s brus hat 10 93 21 W hom aludongda has go nie woln hat You roll a die numbered from 1 to 6 aud wally a grilling to w P not 4 SAW a nito u the a rol line abward oed gulasy to undong all a Womit hohe You roll a die numbered from 1 to 6 P Number 2 and 4 In vihdoing grad nic sha

Next question You can retry this question below Suppose the true proportion of voters in the county who support a restaurant tax is 0 35 Consider the sampling distribution for the proportion of supporters with sample size n 191 What is the mean of this distribution 0 35 0 What is the standard deviation of this distribution Round to 4 decimal places Question Help Message instructor Post to forum

Use the contingency table to the right to determine the probability of events a What is the probability of event A b What is the probability of event A c What is the probability of event A and B d What is the probability of event A or B a The probability of event A is Type an integer or decimal rounded to three decimal places as needed b The probability of event A is Type an integer or decimal rounded to three decimal places as needed c The probability of event A and B is Type an integer or decimal rounded to three decimal places as needed d The probability of event A or B is Type an integer or decimal rounded to three decimal places as needed A A B 70 30 B 90 90

The data in the accompanying table represent the total rates of return in percentages for three stock exchanges over the four year period from 2009 to 2012 Calculate the geometric mean rate return for each of the three stock exchanges Click the icon to view data table for total rate of return for stock market indices Click the icon to view data table for total rate of return for platinum gold and silver a Compute the geometric mean rate of return per year for the stock indices from 2009 through 2012 For stock exchange A the geometric mean rate of return for the four year period 2009 2012 was Type an integer or decimal rounded to two decimal places as needed For stock exchange B the geometric mean rate of return for the four year period 2009 2012 was Type an integer or decimal rounded to two decimal places as needed For stock exchange C the geometric mean rate of return for the four year period 2009 2012 was Type an integer or decimal rounded to two decimal places as needed b What conclusions can you reach concerning the geometric mean rates of return per year of the three marke OA Stock exchange C had a much higher return than exchanges A or B OB Stock exchange A had a much higher return than exchanges B or C OC Stock exchange A had a higher return than exchange C and a much higher return than exchange B OD Stock exchange B had a higher return than exchange C and a much higher return than exchange A c Compare the results of b to those of the results of the precious metals Choose the correct answer below OA Silver had a worse return than stock index C but a better return than indices A and B Gold had a better return than all three stock indices Data table for total rate of return Year 2012 2011 2010 11 00 12 32 16 71 2009 18 96 23 66 43 53 A B C 7 81 13 01 15 76 5 63 0 00 2 25 Metal Platinum Gold Silver Geometric mean rate of return for stock marke indices Geometric mean rate of return 14 53 15 11 23 43 Print C Done OB All three stock indices had lower returns than any of the precious metals C Silver had a much higher return than any of the three stock indices Both gold and platinum had a worse return than stock index C but a better return than indices A and B C WOTOG

Suppose a university accepts 70 of the students who apply The probability of being accepted and being given on campus housing is 60 What is the probability that you will get on campus housing given that you are accepted 0 86 O 0 42 O 0 65 O 0 80

Market researchers showed three versions of the same ad to three different groups and collected their feedback in the following table Based on the overall sample what price point would market researchers be most likely to recommend to their client Ad 1 Ad 2 Ad 3 Total 5 15 9 48 18 75 15 25 57 29 67 153 25 35 32 17 13 Total 98 94 98 O 5 15 O 5 35 O 15 25 O 25 35 62 290

Which is the best measure of center for the dot plot below 0 1 2 3 4 5 6 7 8 9 10 A B C D Mean Median Range They are

The population pyramid for China is shown below Which statement below is most likely to be true China 2016 Age 100 95 99 90 94 85 89 80 84 75 79 70 74 65 69 60 64 55 59 50 54 45 49 40 44 35 39 30 34 25 29 20 24 15 19 10 14 5 9 0 4 65 Male 52 39 26 There are more females than males for most age groups There are more males than females for all age groups There are more males than females in most age groups There are more females than males for all age groups 13 0 13 Millions of people 26 Female 39 52 65

recent medical screening all screened employees were classified by their blood pressure into three categories healthy borderline potentially dangerous Wondering if there was an association between gender and blood pressure classification a statistician created some graphs Which of these graphs shows NO association between gender and blood pressure quiz questic Graph A 600 Frequency of gender 500 300 200 count bipres borderline heathy quiz1 question bd Frequency of bipres 300 250 5 200 150 100 50 female gender Graph B mate potentially dangerous Bar Chart

The following data was collected by the US Department of Agriculture Which of the following departments would least likely to use this data to develop programs 12 940 12 970 12 800 13 680 14 420 14 970 100 80 60 40 20 0 2018 Garonno 0 2 3 5 Miscellaneous Child care and education O Department of Transportation O Department of Health and Human Services O Department of Education Health care Clothing Transportation Food Housing 6 8 9 11 12 14 15 17 Age of child Source US Department of Agriculture Center for Nutrition Policy and Promotion www cnpp usda gov

Assuming that each firm represented has one sole owner how many categories for each firm does the U S Censu study Men owned firms 2012 Women owned firms 2012 Minority owned firms 2012 Nonminority owned firms 2012 Veteran owned firms 2012 Nonveteran owned firms 2012 01 02 03 06 14 844 597 9 878 397 7 952 386 18 987 918 2 521 682 24 070 685

x y 1 0 4 1 11 10 9 84 7 4 0 4 0 6 5 5 0 5 3 2 0 5 7 3 0 6 5 HHHH X 6 0 8 4 34 7 0 5 7 8 0 7 1 9 0 9 1 10 0 8 0 Figure 1 0 w t 1 0 1 0 70 93 2 0 2 0 3 0 3 0 4 0 4 0 84 74 6 34 5 0 5 0 6 0 6 0 7 0 7 0 8 0 8 0 9 0 9 0 10 0 10 0 Figure 3 4 3 24 0 X X X X 6 7 8 9 10 11 6 8 9 10 11 X Choose one V 11 1 0 6 8 2 0 9 4 3 0 39 4 0 9 3 5 0 5 3 6 0 2 3 7 0 5 9 8 0 9 5 9 0 5 3 10 0 7 8 Figure 2 712 71 1 0 8 2 2 0 6 8 10 9 8 7 6 5 4 3 2 1 Y 11 10 9 3 0 7 6 4 0 6 0 6 5 0 7 0 6 0 4 4 X X 7 0 4 9 8 0 4 0 9 0 4 2 10 0 3 3 Figure 4 a Which data set indicates the strongest negative linear relationship between its two variables b Which data set has an apparent negative but not perfect linear relationship between its two variables Choose one c In which data set is there evidence of a strong nonlinear relationship between the two variables Choose one X d Which data set indicates a perfect positive linear relationship between its two variables Choose one X X X X xx X X Answer the following questions The same response may be the correct answer for more than one question X 4 S 67 9 9 10 11 X xx X X 10 11 S

Siven the points graphed in the following figure use quadratic regression to find the quadratic function of best fit Round the coefficients to three decimal places if necessary Answer 10 5 Enable Zoom Pan 3 10 Keynar

Question 2 of 14 Step 1 of 1 Given the points graphed in the following figure use quadratic regression to find the quadratic function of best fit Round the coefficients to three decimal places if necessary 10 t t 10 5 Enable Zoom Pan 10 HA