Statistics Questions

The given quantities below were calculated from a sample data set x 265 x 3685 m y y 266 L 3434 xy xy 2621 Determine the least squares regression line Round values to four decimal places if necessary n 29 Determine the correlation coefficient Round the solution to four decimal places if necessary

X y 2 3 4 5 6 7 8 9 10 11 12 y 32 3 30 46 29 22 26 38 23 44 23 9 22 06 19 82 15 98 13 24 12 7 y 2 01x 36 75 Use the model to estimate the y value when x 2 Round the solution to two decimal places if necessary Use the model to estimate the y value when x the solution to two decimal places if necessary 6 Round

Funun 10 company Test the null hypothesis that the average number of years of service is the same for males and females Assume that the populistion variances are unequal b lest the null hypothesis that the average years of undergraduate study is the same for males and females Assume that the population variances are unequal Click the icon to view the survey data a Is there sufficient evidence at the 0 05 level of significance that the average number of years of service is the same for males and females Determine the null hypothesis He and the alternative hypothesis H Let females be population 1 and males be population 2 0 Survey data Hy H 0 Type integers or decimals Do not round Compute the test statistic Round to two decimal places as needed Gender Female Female Female Female Female Female Female Female Female Female Female Female Years of Service Years Undergraduate Study 2 2 16 4 9 22 7 9 9 10 16 m 4 4 4 2 0 Gender Male Male Maie Male Male Male Maler Male Male Male Male Male Years of Service Years Undergradu Study 10 252722252885 15 26 18 19 30 4 4 4 4 4 2 4 4

Save Using the accompanying Concert Sales data on sales dollars and the number of radio TV and newspaper ads promoting the concerts for a group of cities Develop simple linear regression models for predicting sales as a function of the number of each type of ad Compare these results to a multiple linear regression model using both independent variables State the model and explain R square Significance F and p values with an alpha of 0 05 Click the icon to view the Concert Sales data State the hypotheses for the simple linear regression tests Ho B 0 H B 0 State the model predicting ConcertSales as a function of Radio TV the number in thousands of radio and TV ads ConcertSales Radio TV Type integers or decimals rounded to three decimal places as needed 1 Sales 1000 2 3 45678 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1064 997 919 626 869 950 946 1199 881 1011 1614 1562 1067 934 1395 1336 1401 1496 1561 1715 1774 1786 Thousands of radio and TV ads 0 0 25 25 32 30 34 33 38 41 47 43 48 48 53 54 62 62 68 64 70 68 Thousands of newspaper ads 39 26 25 29 30 34 33 25 24 45 47 48 52 20 21 32 32 33 33 39 42

et X Xn be a random sample from the inverse Gaussian distribution with pdf 1 2 F x 4 2 3 exp 2 x 2 x 0 x For n 2 show that X has an inverse Gaussian distribution n T has a x1 distribution and hey are independent

Claim The standard deviation of pulse rates of adult males is more than 11 bpm For a random sample of 139 adult males the pulse rates have a standard deviation of 12 3 bpm Find the value of the test statistic The value of the test statistic is Round to two decimal places as needed CIE

science fair project Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field She flipped a coin to select either her right hand or her left hand and then she asked the therapists to identify the selected hand by placing their hand just under Emily s hand without seeing it and without touching it Among 354 trials the touch therapists were correct 167 times Complete parts a through d C a Given that Emily used a coin toss to select either her right hand or her left hand what proportion of correct responses would be expected if the touch therapists made random guesses 0 5 Type an integer or a decimal Do not round b Using Emily s sample results what is the best point estimate of the therapists success rate 0 472 Round to three decimal places as needed c Using Emily s sample results construct a 95 confidence interval estimate of the proportion of correct responses made by touch therapists p Round to three decimal places as needed

study suggests that 64 of college student spend 10 or more hours per week communicating with others online You believe that this is incorrect and decide to collect your own sample for st You randomly sample 150 students from your dorm and find that 72 spent 10 or more hours a week communicating with others online A friend of yours who offers to help you with t st comes up with the following set of hypotheses Ho p 0 64 HA P 0 72 dicate any errors you see Select all that apply The hypotheses use the symbol for the sample proportion instead of the population proportion The null hypothesis uses the wrong equality or inequality symbol The hypotheses use the same null values The alternative hypothesis uses the incorrect null value The hypotheses use the symbol for the population proportion instead of the sample proportion The alternative hypothesis uses the wrong equality or inequality symbol The null hypothesis uses the incorrect null value

Pisa Pizza a seller of frozen pizza is considering introducing a healthier version of its pizza that will be low in cholesterol and contain no trans fats The firm expects that sales of the new pizza will be 16 million per year While many of these sales will be to new customers Pisa Pizza estimates that 40 will come from customers who switch to the new healthier pizza instead of buying the original version a Assume customers will spend the same amount on either version The incremental sales associated with introducing the new pizza will be to two decimal places million Round b Suppose that 55 of the customers who will switch from Pisa Pizza s original pizza to its healthier pizza will switch to another brand if Pisa Pizza does not introduce a healthier pizza Then the incremental sales will be million Round to two decimal places

The pulse rates of 158 randomly selected adult males vary from a low of 37 bpm to a high of 109 bpm Find the minimum sample size required to estimate the mean pulse rate of adult males Assume that we want 99 confidence that the sample mean is within 3 bpm of the population mean Complete parts a through c below a Find the sample size using the range rule of thumb to estimate a n 239 Round up to the nearest whole number as needed b Assume that o 10 1 bpm based on the value s 10 1 bpm from the sample of 158 male pulse rates n CKIN Round up to the nearest whole number as needed

The pulse rates of 168 randomly selected adult males vary from a low of 35 bpm to a high of 115 bpm Find the minimum sample size required to estimate the mean pulse rate of adult males Assume that we want 99 confidence that the sample mean is within 2 bpm of the population mean Complete parts a through c below a Find the sample size using the range rule of thumb to estimate o n Round up to the nearest whole number as needed

According to a magazine people read an average of more than two books in a month A survey of 25 random individuals found that the mean number of books they read was 1 9 with a standard deviation of 12 a To test the magazine s claim what should the appropriate hypotheses be b Compute the test statistic c Using a level of significance of 0 05 what is the critical value d Find the p value for the test e What is your conclusion a To test the magazine s claim what should the appropriate hypotheses be Determine the null hypothesis Ho and the alternative hypothesis H Ho P 2 H H Type whole numbers b Compute the test statistic 0 39 Round to two decimal places as needed c Using a level of significance of 0 05 what is the critical value Round to two decimal places as needed He

X the vitamin C content of a randomly selected orange then our shorthand notation is X N 720 IU 46 IU Use this distribution of vitamin C content to answer the following questions 3pt 1 What is the probability that a randomly selected orange will have less than 660 IU Using X as the random variable state your answer as a probability statement using the probability notation developed in the learning module 3pt 2 What is the 80th percentile of the of the distribution of vitamin C content of the oranges 1pt 3 What proportion of oranges exceed the vitamin C content you found in part 2 above 3pt 4 What range of vitamin C content values represent the middle 80 of the distribution State your answer as a probability statement using the probability

test of the effectiveness of garlic for lowering cholesterol 44 subjects were treated with garlic in a processed tablet form Cholesterol levels were measured before and after the treatment The changes before after in their levels of LDL cholesterol in mg dL have a mean of 5 2 and a standard deviation of 18 7 Construct a 90 confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol Click here to view a t distribution table Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table What is the confidence interval estimate of the population mean 0 46 mg dL 9 94 mg dL Round to two decimal places as needed What does the confidence interval suggest about the effectiveness of the treatment OA The confidence interval limits do not contain 0 suggesting that the garlic treatment did not affect the LDL cholesterol levels OB The confidence interval limits do not contain 0 suggesting that the garlic treatment did affect the LDL cholesterol levels OC The confidence interval limits contain 0 suggesting that the garlic treatment did affect the LDL cholesterol levels OD The confidence interval limits contain 0 suggesting that the garlic treatment did not affect the LDL cholesterol laun Save

Find the sample size needed to estimate the mean age of movie patrons such that it can be said with 90 confidence that the sample mean is within 1 year of the population mean Assume that o 19 5 years based on a previous report Should the sample be obtained from one movie at one theater The required sample size is 1029 Round up to the nearest integer Should the sample be obtained from one movie at one theater SCIEBE OA The sample should not be obtained from one movie at one theater because that sample could be easily biased Instead a stratified sample of the broader population should be obtained OB The sample should not be obtained from one movie at one theater because that sample could be easily biased Instead a simple random sample of the broader population should be obtained OC The sample should be obtained from one movie at one theater because that sample is representative of the population OD The sample should not be obtained from one movie at one theater because that sample could be easily biased Instead a cluster sample of the broader population should be obtained

In a science fair project Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field She flipped a coin to select either her right hand or her left hand and then she asked the therapists to identify the selected hand by placing their hand just under Emily s hand without seeing it and without touching it Among 309 trials the touch therapists were correct 147 times Complete parts a through d ACCES u Usily cimy sample results what is the best part is on the cas des 0 476 Round to three decimal places as needed c Using Emily s sample results construct a 90 confidence interval estimate of the proportion of correct responses made by touch therapists 0 429 p 0 523 Round to three decimal places as needed d What do the results suggest about the ability of touch therapists to select the correct hand by sensing energy fields OA Since the upper confidence limit is above 0 5 there appears to be evidence that touch therapists can select the correct hand by sensing energy fields OB Since the confidence interval is not entirely below 0 5 there appears to be evidence that touch therapists can select the correct hand by sensing energy fields OC Since the lower confidence limit is below 0 5 there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields OD Since the confidence interval is not entirely above 0 5 there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields

mean Assume that a 19 5 years based on a previous report Should the sample be obtained from one movie at one theater estimate the mean age of movie patrons such that it can be said with 90 confidence that the sample mean is within 1 year of the population The required sample size is Round up to the nearest integer SIIS

who have heard of the brand How many adults must he survey in order to be 80 confident that his estimate is within eight percentage points of the true ager for a brand of toothpaste must plan a campaign designed to increase brand recognition He wants to first determine the percentage of aduits population percentage Complete parts a through c below CELE b Assume that a recent survey suggests that about 78 of adults have heard of the brand Points 0 67 of 1 n 44 Round up to the nearest integer c Given that the required sample size is relatively small could he simply survey the adults at the nearest college of 13 points OA No a sample of students at the nearest college is a cluster sample not a simple random sample so it is very possible that the results would not be representative of the population of adults OB Yes a sample of students at the nearest college is a simple random sample so the results should be representative of the population of adults O C No a sample of students at the nearest college is a stratified sample not a simple random sample so it is very possible that the results would not be representative of the population of adults Save O D No a sample of students at the nearest college is a convenience sample not a simple random sample so it is very possible that the results would not be representative of the population of adults

3 To test a new fertilizer a biochemical company has planted several test hectares of com Individual hectares were sprayed with concentrations of 2 3 4 and 5 solutions of new fertilizer Crop yields in bushels per hectare from each test planting are shown in the table below Fertilizer Concentration a Using google docs sheets create a scatter plot of the data Label the axes appropriately C 15 Model 2 3 4 5 b Complete the table below and choose the best regression model for the data using the trendline in Google Sheets to fill in the chart then choose which one fits the data best A 13 Linear Quadratic Crop Yield bushels ha 600 650 691 721 Coefficient of Best Choice Determination check one 2 2 Exponential 2 c Write the equation of the line or curve of best fit to 2 decimal places below A 1

The accompanying data provides the results of a survey of 27 employees in a tax division of a Fortune 100 company F a Test the null hypothesis that the average number of years of service is the same for males and females Assume that the population variances are unequal b Test the null hypothesis that the average years of undergraduate study is the same for males and females Assume that the population variances are unequal Click the icon to view the survey data a Is there sufficient evidence at the 0 05 level of significance that the average number of years of service is the same for males and females Determine the null hypothesis Ho and the alternative hypothesis H Let females be population 1 and males be population 2 Ho Mi M 0 H H1 H 0 Type integers or decimals Do not round Compute the test statistic Round to two decimal places as needed Survey data Gender Female Female Female Female Female Female Female Female Female Female Female Female Female SOOD Years of Service Years Undergraduate Study 2 2 4 4 4 4 2 4 1 2 4 0 4 16 4 9 22 7 9 9 9 8 10 16 8 12 Gender Male Male Male Male Male Male Male Male Male Male Male Male Male Years of Service Years Undergraduate Study 4 4 4 4 10 15 28 7 22 26 18 5 19 20 30 27 30 4 4 2 4 4 4 4 4 2

The Helicopter Division of Aerospatiale is studying assembly costs at its Marseilles plant Past data indicates the accompanying data of number of labor hours per helicopter Reduction in labor hours over time is often called a learning curve phenomenon Using these data apply simple linear regression and examine the residual plot What do you conclude Construct a scatter chart and use the Excel Trendline feature to identify the best type of curvilinear trendline but not going beyond a second order polynomial that maximizes R Click the icon to view the Helicopter Data The residuals plot has a nonlinear shape Determine the best curvilinear trendline that maximizes R O A OB The best trendline is Exponential with an R2 value of Round the coefficient to one decimal place as needed The best trendline is Power with an R2 value of Round the coefficient to one decimal place as needed O C The best trendline is Logarithmic with an R2 value of Round the coefficient of the logarithm to one decimal OD The best trendline is Polynomial with an R2 value of Round to three decimal places as needed h Therefore this data cannot be modeled with a linear model The equation is y x Round all other values to three decimal places as needed The equation is y e Round all other values to three decimal places as needed The equation is y In x place as needed Round all other values to three decimal places as needed The equation is y x x Data Table for number of hours per helicopter Helicopter Number 1 2 3 4 5 6 Labor Hours 2000 1350 1235 1143 1071 1029 O X

a Construct a 90 confidence interval for o if the sample size n is 20 The lower bound is 7 88 Round to two decimal places as needed The upper bound is 23 48 Round to two decimal places as needed Part 3 of 8 A simple random sample of size n is drawn from a population that is known to be normally distributed The sample variance s is determined to be 12 5 Complete parts a through c b Construct a 90 confidence interval for o if the sample size n is 30 The lower bound is 8 52 Round to two decimal places as needed Points 0 25 of CTLE

Factory Overhead Cost Budget Sweet Tooth Candy Company budgeted the following costs for anticipated production for August Advertising expenses Manufacturing supplies Power and light Sales commissions Factory insurance Production supervisor wages Production control wages Executive officer salaries Materials management wages Factory depreciation 232 000 14 000 48 000 298 000 30 000 135 000 32 000 310 000 39 000 22 000 Prepare a factory overhead cost budget separating variable and fixed costs Assume that factory insurance and depreciation are the only factory costs Sweet Tooth Candy Company Factory Overhead Cost Budget For the Month Ending August 31 Sweet Tooth Candy Company Factory Overhead Cost Budget For the Month Ending August 31 Variable factory overhead costs Total variable factory overhead costs Fixed factory overhead costs

The manager of the day care centre is thinking of expanding its facility She is wondering if there will be enough possible clients in the coming years Susan researches birth data from Statistics Canada starting in the year 2002 Year 0 K 12 a Fill in the first and second differences columns Births in Ontario Year 1000s 128 53 0 1 2 3 4 5 130 93 132 56 133 76 134 08 134 39 1ST Diff 2ND Diff b Using google docs sheets create a scatter plot of the data Does the scatter plot show any particular trend Justify your reasoning using the information in the table of values C 13

Using the accompanying Home Market Value data and associated regression line Market Value 29 002 36 937 x Square Feet compute the errors associated with each observation using the formula e Y Y and construct a frequency distribution and histogram Click the icon to view the Home Market Value data Construct a frequency distribution of the errors e Type whole numbers Error 15 000 10 000 e 10 000 e 5000 5000 e 0 0 e 5000 5000 e 10 000 10 000 e 15 000 15 000 e 20 000 Frequency 4 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1840 1813 1838 2027 1731 1848 1789 1668 1851 1621 1694 2374 2371 1666 2125 1622 1731 1667 1518 1484 1586 1597 1485 1484 1520 1699 1483 1469 1522 1519 1485 1518 1670 1590 1785 1484 1521 1518 1686 1579 93400 91100 101800 108500 87700 95900 89300 88500 100800 96800 87600 113900 113100 87600 116000 94600 86500 87000 83300 79800 81600 87200 82500 78900 87500 94100 82100 88100 88000 88600 76700 84300 90800 81100 91300 81200 100700 87100 96600 94400

Suppose a simple random sample of size n 1000 is obtained from a population whose size is N 1 500 000 and whose population proportion with a specified characteristic is p 0 42 Complete parts a through c below Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 a Describe the sampling distribution of p O A Approximately normal 0 42 and o 0 0004 P P OB Approximately normal 0 42 and 0 0 0002 P c Approximately normal 0 42 and o 0 0156 P b What is the probability of obtaining x 440 or more individuals with the characteristic P x2440 0 0999 Round to four decimal places as needed c What is the probability of obtaining x 390 or fewer individuals with the characteristic P x 390 Round to four decimal places as needed

A national homebuilder builds single family homes and condominium style townhouses The accompanying dataset provides information on the selling price lot cost and type of home for closings during one month Complete parts a through c Click the icon to view the house sales data Create a dummy variable named Townhouse where it is equal to 1 when Type Townhouse and 0 otherwise Determine the coefficients of the regression equation A 1 Type 2 Townhouse 3 Single Family 4 Townhouse 5 Single Family 6 Townhouse 7 Townhouse 8 Single Family 9 Townhouse a Develop a multiple regression model for sales price as a function of lot cost and type of home without any interaction 10 Townhouse term 11 Single Family 12 Single Family 13 Townhouse Sales Price Lot Cost Townhouse Round the constant and coefficient of Townhouse to the nearest integer as needed Round all other values to two decimal places as needed A 14 Single Family 15 Single Family 16 Single Family 17 Single Family 18 Single Family 19 Single Family 20 Single Family 21 Single Family 22 Single Family 23 Single Family 24 Single Family 25 Single Family 26 Single Family 27 Single Family Sales Price Lot Cost 112440 20700 138530 25500 147905 24750 170500 25300 181916 45025 187290 27100 189120 35000 45025 45025 39299 36500 73400 196898 203076 205821 214205 250800 255000 268000 268500 271105 277720 294990 43198 43344 41196 45060 44650 57000 302500 59050 45850 40768 307387 312898 319602 324612 337374 82250 62523 70399 337380 49150 338065 54852

Suppose a simple random sample of size n 150 is obtained from a population whose size is N 20 000 and whose population proportion with a specified characteristic is p 0 2 Complete parts a through c below a Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below OA Approximately normal because n 0 05N and np 1 p 10 OB Not normal because n 0 05N and np 1 p 10 OC Not normal because n 0 05N and np 1 p 10 O D Approximately normal because n 0 05N and np 1 p 10 Determine the mean of the sampling distribution of p Round to one decimal place as needed Determine the standard deviation of the sampling distribution of p Round to six decimal places as needed JA P b What is the probability of obtaining x 33 or more individuals with the characteristic That is what is P p 0 22 P p 0 22 c What is the P p 0 12 Round to four decimal places as needed probability of obtaining x 18 or fewer individuals with the characteristic That is what is P p 0 12 Round to four decimal places as needed

According to a study the proportion of people who are satisfied with the way things are going in their lives is 0 82 Suppose that a random sample of 100 people is obtained Complete parts a through e below Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 b Explain why the sample proportion p is a random variable What is the source of the variability OA The sample proportion p is a random variable because the value of p varies from sample to sample The variability is due to the fact that people may not be responding to the question truthfully OB The sample proportion p is a random variable because the value of p represents a random person included in the sample The variability is due to the fact that different people feel differently regarding their satisfaction OC The sample proportion p is a random variable because the value of p represents a random person included in the sample The variability is due to the fact that people may not be responding to the question truthfully D The sample proportion p is a random variable because the value of p varies from sample to sample The variability is due to the fact that different people feel differently regarding their satisfaction c Describe the sampling distribution of p the proportion of people who are satisfied with the way things are going in their life Be sure to verify the model requirements Since the sample size is with in A than 5 of the population size and np 1 p and A P 210 the distribution of p is

The accompanying data represent the mes per gallon a Compute the z score corresponding to the individual who obtained 42 2 miles per gallon Interpret this result b Determine the quartiles c Compute and interpret the interquartile range IQR d Determine the lower and upper fences Are there any outliers Click the icon to view the data a Compute the z score corresponding to the individual who obtained 42 2 miles per gallon Interpret this result The z score corresponding to the individual is and indicates that the data value is standard deviation s Type integers or decimals rounded to two decimal places as needed b Determine the quartiles Q Q mpg mpg Q3 mpg Type integers or decimals Do not round B c Compute and interpret the interquartile range IQR Select the correct choice below and Type an integer or a decimal Do not round The interquartile range is mpg It is the range of d Determine the lower and upper fences Are there any outliers The lower fence is The upper fence is Type integers or decimals Do not round the above below MPG Data V 32 7 36 2 37 7 34 6 36 4 38 0 34 7 37 5 38 1 35 2 37 6 38 6 38 7 38 9 39 1 39 8 40 3 40 6 42 8 41 4 43 5 41 8 49 3 42 2 O

In a comparative study of two new drugs A and B 200 patients were treated with drug A and 325 patients were treated with drug B The two treatment groups were randomly and independently chosen It was found that 150 patients were cured using drug A and 211 patients were cured using drug B Let p be the proportion of the population of all patients who are cured using drug A and let p be the proportion of the population of all patients who are cured using drug B Find a 95 confidence interval for P P Then find the lower limit and upper limit of the 95 confidence interval Carry your intermediate computations to at least three decimal places Round your responses to at least three decimal places If necessary consult a list of formulas Lower limit

A survey was conducted that asked 1015 people how many books they had read in the past year Results indicated that x 10 2 books and s 16 6 books Construct a 95 confidence interval for the mean number of books people read Interpret the interval Click the icon to view the table of critical t values Construct a 95 confidence interval for the mean number of books people read and interpret the result Select the correct choice below and fill in the answer boxes to complete your choice Use ascending order Round to two decimal places as needed OA There is 95 confidence that the population mean number of books read is between OB If repeated samples are taken 95 of them will have a sample mean between C There is a 95 probability that the true mean number of books read is between and and and

1 15 6 said that body piercings and tattoos were big personal grooming red flags Complete parts a through d below MSPS DAE Round to three decimal places as needed c Repeat part b using a confidence level of 8016 CHE 0 428 p 0 484 Round to three decimal places as needed d Compare the confidence intervals from parts b and c and identify the interval that is wider Why is it wider Save OA The 99 confidence interval is wider than the 8096 confidence interval A confidence interval must be wider in order to be more confident that it captures the true value of the population proportion OB The 80 confidence interval is wider than the 9996 confidence interval A confidence interval must be wider in order to be more confident that it captures the true value of the population proportion OC The 80 confidence interval is wider than the 99 confidence interval A confidence interval must be wider in order to be less confident that it captures the true value of the population proportion OD The 9996 confidence interval is wider than the 8096 confidence interval A confidence int value of the population proportion

equency distribution to complete parts a mine the total number of observations mine the width of each class mine the midpoint of the second class mine the modal class or classes mine the class limits of the next class if an class were to be added tal number of observations is dth of each class is dpoint of the second class is integer or a decimal Class 9 14 15 20 21 26 27 32 33 38 39 44 Frequency 4 2 4 2 odal class es is are phen to separate the limits of a class Use a comma to separate answers Type the classes in order from small ass limits of the next class if an additional class were to be added are phen to separate the limits of a class

The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well being test Complete parts a through d below Click the icon to view the table of critical values of the correlation coefficient 110 0 60 70 Time min a Which variable is likely the explanatory variable and which is the response variable OA The explanatory variable is commute time and the response variable is the well being score because well being score affects the commute time score OB The explanatory variable is the well being score and the response variable is commute time because commute time affects the well being score OC The explanatory variable is the well being score and the response variable is commute time because well being score affects the commute time OD The explanatory variable is commute time and the response variable is the well being score because commute time affects the well being score b Draw a scatter diagram of the data Which of the following represents the data O A Q Q OB 70 60 0 Time min 110 Q Q C c Determine the linear correlation coefficient between commute time and well being score r Round to three decimal places as needed O C Time min 110 0 1 Commute Time in minutes 6 14 25 33 52 60 70 103 Score Well Being Score 69 2 70 68 3 67 7 67 4 66 5 66 3 63 7 O D Time min 70 60 0 Score 110

Scores of an IQ test have a bell shaped distribution with a mean of 100 and a standard deviation of 14 Use the empirical rule to determine the following a What percentage of people has an IQ score between 86 and 114 b What percentage of people has an IQ score less than 58 or greater than 142 c What percentage of people has an IQ score greater than 128 a Type an integer or a decimal b Type an integer or a decimal c Type an integer or a decimal

nergy In a science fair project Emily conducted an experiment in which she tested professional touch therapists to see if they could sense net select either her right hand or her left hand and then she asked the therapists to identify the selected hand by placing their hand just under Emily s hand without seeing it a without touching it Among 284 trials the touch therapists were correct 137 times Complete parts a through d a Given that Emily used a coin toss to select either her right hand or her left hand what proportion of correct responses would be expected if the touch therapists made random guesses 0 5 Type an integer or a decimal Do not round b Using Emily s sample results what is the best point estimate of the therapists success rate 0 482 Round to three decimal places as needed c Using Emily s sample results construct a 90 confidence intervalestimate of the proportion of correct responses made by touch therapists p Round to three decimal places as needed

According to an almanac 70 of adult smokers started smoking before turning 18 years old a If 100 adult smokers are randomly selected how many would we expect to have started smoking before turning 18 years old b Would it be unusual to observe 85 smokers who started smoking before turning 18 years old in a random sample of 100 adult smokers Why a We would expect about adult smokers to have started smoking before turning 18 years old Type a whole number b Would it be unusual to observe 85 smokers who started smoking before turning 18 years old in a random sample of 100 adult smokers OA Yes because 85 is between 20 and 2o OB No because 85 is greater than 20 OC No because 85 is between 2o and 2o O D Yes because 85 is greater than 2o OE No because 85 is less than 2o

A golf ball is selected at random from a golf bag If the golf bag contains 9 type A balls 4 type B balls and 7 type C balls find th probability that the golf ball is not a type A ball ww The probability that the golf ball is not a type A ball is Type an integer or decimal rounded to three decimal places as needed

Jamie has just completed her second semester in college She earned a grade of A in her 5 hour discrete math course a grade of D in her 1 hour sociology course a grade of B in her 1 hour biology course and a grade of A in her 2 hour philosophy course Assuming that A equals 4 points B equals 3 points C equals 2 points D equals 1 point and F is worth no points determine Jamie s grade point average for the semester Jamie s grade point average is Round to two decimal places as needed ACCES

Some states now allow online gambling As a marketing manager for a casino you need to determine the percentage of adults in those states who gamble online How many adults must you survey in order to be 90 confident that your estimate is in error by no more than one percentage point Complete parts a and b below a Assume that nothing is known about the percentage of adults who gamble online n Round up to the nearest integer

To determine her air quality Denise divides up her day into three parts morning afternoon and evening She then measures her air quality at 4 randomly selected times during each part of What type of sampling is used OA Systematic OB Cluster OC Simple random OD Stratified OE Convenience

In a poll of 518 human resource professionals 45 6 said that body piercings and tattoos were big personal grooming red flags Complete parts a through d below CHITE a Among the 518 human resource professionals who were surveyed how many of them said that body piercings and tattoos were big personal grooming red flags Round to the nearest integer as needed

Express the confidence interval 0 555 p 0 777 in the form p E p E

An article examined the graduate admissions process for evidence of gender bias The table shows the number of applicants accepted to each of four graduate programs Round to one decimal place as needed b Overall were a higher percentage of males or females admitted T Total 1 2 3 4 Males accepted of applicants 504 of 825 331 of 555 101 of 405 24 of 375 960 of 2160 O Females O Males c Compare the percentage of males and females admitted into each program Start by finding the rates of admission for males and females into program 1 Of the male applicants were admitted to program 1 Of the female applicants were admitted to program 1 Round to one decimal place as needed Find the admission rates for program 2 Of the male applicants were admitted to program 2 of the female applicants were admitted to program 2 Round to one decimal place as needed Find the admission rates for program 3 Of the male applicants were admitted to program 3 Females accepted of app 89 of 109 17 of 23 130 of 378 23 of 340 259 of 850

3 Consider the graph below MA 3 3 2 2 3 Give three different equations that represent the graph

A recent study found that 39 of all Americans are in favor of congressional term limits Let x be the number of Americans who are in favor of congressional term limits out of a random sample of 25 Americans Note this is a binomial experiment The mean of the probability distribution of x is O 15 25 02 44 04 81 9 75 The standard deviation of the probability distribution of x is 2 44 0 06 09 75 05 95

Which of the following values cannot be the probability of an event 01 06 0 73 Oo 01

The given data represents a frequency distribution of the F scale intensities of recent tornadoes Use the frequency distribution to construct a frequency polygon Does the graph suggest that the distribution is skewed If so how Construct a frequency polygon using the data Choose the correct graph below OA 30 Frequency F Scale 5 Q OB Frequency 307 F Scale Q O C Tornado F Scale Frequency F Scale Does the graph suggest that the distribution is skewed If so how OA The distribution appears to be skewed to the right or positively skewed OB The distribution does not appear to be skewed O C The distribution appears to be skewed to the left or negatively skewed OD The distribution appears to be skewed to both sides 0 1 2 3 4 O D Frequency O 24 Frequency 27212 F Scale Q Q

A study found that 30 of Americans do not have adequate retirement savings Determine the probability that at least 3 people out of a random sample of 8 Americans do not have adequate retirement savings Us the Binomial probability formula or the binomial probability table if possible to solve O 0 2541 O 0 1602 O 0 4482 O 0 058