Statistics Questions

Complete parts a through h for the data below X 40 70 80 O y 63 46 33 UA Ay 90 30 30 50 58 x 60 53 90 oo 5 B y Type integers or simplified fractions Ay 100 04 b Find the equation of the line containing the points 50 58 and 80 33 30 90 O G L OC 90 304 4 100 3 O G

set is given below a Draw a scatter diagram Comment on the type of relation that appears to exist between x and y b Given that x 3 6667 sx 2 5820 y 3 8167 sy 1 8236 and r 0 9543 determine the least squares regression line c Graph the least squares regression line on the scatter diagram drawn in part a 0 X y 0 1 4 5 6 5 6 6 2 4 3 2 7 1 9 6 2 2 0 C There appears to be a linear negative relationship b x Round to three decimal places as needed 0 Q 0 0 Q

Complete parts a through h for the data below 60 70 X 40 63 80 D 33 46 53 y UA 90 30 50 58 0 100 NUEZ 90 B 100 100 30 BETER d By hand determine the least squares regression line y x D Round to three decimal places as needed 30 3 90 90 30 30 90 Q Q

Complete parts a through h for the data below 3 4 7 8 7 10 19 22 X y OA Ay 10 0 0 5 12 X 10 OU C B AY 30 0 0 10 b Find the equation of the line containing the points 3 7 and 8 22 y x Tyne integers or simplified fractions CH Ay 30 04 0 10 O o Q OD 10 0 0 Ax Y 30 Q O 17

A normal distribution has a mean of 72 and a standard deviation of 16 Q1 What is the percent of folks scoring above 80

Recently a random sample of 13 18 year olds was asked How much do you currently have in savings The data in the table represent the responses to the survey Approximate the mean and standard deviation amount of savings Click the icon to view the frequency distribution for the amount of savings The sample mean amount of savings is 229 Round to the nearest dollar as needed The sample standard deviation is S Round to the nearest dollar as needed Frequency distribution of amount of savings Savings 0 199 200 399 400 599 600 799 800 999 1000 1199 1200 1399 Frequency 333 94 50 19 9 8 1 F X

The following data represent the number of people aged 25 to 64 years covered by health insurance private or government in 2018 Approximate the mean a standard deviation for age Age Number millions 25 34 23 8 44 7 Type an integer or decimal rounded to two decimal places as needed 6 Type an integer or decimal rounded to two decimal places as needed 35 44 30 6 45 54 30 9 55 64 25 2 C Sa

Nature of Science 3 Interpreting Data Univariate Statistics Question 6 Which data set is represented by the box plot Select one 50 51 54 55 55 58 60 68 75 75 76 87 87 89 99 57 58 67 70 74 82 84 85 86 88 91 93 95 100 100 57 63 65 65 66 70 76 78 84 88 92 93 94 100 100 56 58 68 69 70 80 83 84 85 86 86 91 91 98 98 57 65 78 93 100

The list below shows the average monthly temperatures in degrees Fahrenheit in Ahmed s city for the past year 01 74 86 90 68 76 64 68 84 90 94 82 92 Which box and whisker plot correctly represents the data in the list Select one Average Monthly Temperatures 64 64 74 Average Monthly Temperatures 64 74 HHH 64 84 74 84 Average Monthly Temperatures 74 84 94 84 94 Average Monthly Temperatures 94 94

tion 1 Find the value of z when 0 015 0 2 Round your answer to the nearest hundredths Answer Previous Answer 2 17

In a Leichtman Research Group survey of 1150 TV households 75 1 of them had at least one Internet connected TV device for example Smart TV standalone streaming device connected video game console A marketing executive wants to convey high penetration of Internet connected TV devices so he makes the claim tha percentage of all homes with at least one Internet connected TV device is equal to 82 Test that claim using a 0 05 significance level Use the P value method Use the normal distribution as an approximation to the binomial distribution Let p denote the population proportion of all homes with at least one Internet connected TV device Identify the null and alternative hypotheses Ho P 0 82 H P 0 82 Type integers or decimals Do not round Identify the test statistic 2 0 Round to two decimal places as needed

Question 3 of 6 3 A random sample of size 32 is selected from a large population with unknown mean and known standard deviation 3 What is the left endpoint of a 92 confidence interval for the population mean if the sample mean is 24 8 Round your answer to the nearest hundredths Answer

cher studying public opinion of proposed Social Security changes obtains a si ample of 50 adult Americans and asks them whether or not they support the To say that the distribution of the sample proportion of adults who respond y ately normal how many more adult Americans does the researcher need to s ing cases of all adult Americans support the changes of all adult Americans support the changes esearcher must ask esearcher must ask more American adults Round up to the nearest integ more American adults Round up to the nearest integ

When she was 9 years of age a girl did a science fair experiment in which she tested professional touch therapists to see if they could sense 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 her hand without seeing it and without touching it Among 280 trials the touch therapists were correct 123 times Use a 0 10 significance level to test the claim that touch therapists use a method equivalent to random guesses Do the results suggest that touch therapists are effective wyprawy wy Identify the test statistic 2 2 03 Round to two decimal places as needed Identify the P value P value 0 042 Round to three decimal places as needed State the conclusion about the null hypothesis as well as the final conclusion that addresses the original claim Address whether the results suggest that touch therapists are effective The results sufficient evidence to the null hypotheses There that touch therapists are effective the claim that touch therapists use a method equivalent to random guesses

A certain drug is used to treat asthma In a clinical trial of the drug 20 of 292 treated subjects experienced headaches based on data from the manufacturer The accompanying calculator display shows results from a test of the claim that less than 10 of treated subjects experienced headaches Use the normal distribution as an approximation to the binomial distribution and assume a 0 01 significance level to complete parts a through e below Ho p 01 H p 0 1 Decide whether to reject the null hypothesis Choose the correct answer below A Fail to reject the null hypothesis because the P value is greater than the significance level a B Reject the null hypothesis because the P value is less than or equal to the significance level a OC Fail to reject the null hypotheses because the P value is less than or equal to the significance level a ber ne the P value is greater than the significance level ir 1 PropzTest prop 0 1 2 1 794530924 p 0 0363562614 p 0 0684931507 n 292

a Claim ABO A certain drug is used to treat asthma In a clinical trial of the drug 20 of 292 treated subjects experienced headaches based the manufacturer The accompanying calculator display shows results from a test of the claim that less than 10 of treated subjects experienced headaches Use the normal distribution as an approximation to the binomial distribution and assume a 0 01 significance level to complete parts a through e below Right tailed test Left tailed test b What is the test statistic 2 1 79 Round to two decimal places as needed c What is the P value prop 0 1 z 1 794630924 p 0 0363562614 p 0 0684931507 n 292

mpped a When she was 9 years of age a girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy 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 her hand without seeing it and without touching it Among 280 trials the touch therapists were correct 123 times Use a 0 10 significance level to test the claim that touch therapists use a method equivalent to random guesses Do the results suggest that touch therapists are effective Let p denote the population proportion of correct hand selections by touch therapists Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses Ho P 0 50 H P 0 50 Type integers or decimals Do not round Identify the test statistic z 2 03 Round to two decimal places as needed Identify the P value P value Round to three decimal places as needed

Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results Use a 0 01 significance level to test the claim that such polygraph results are correct less than 80 of the time Identify the null hypothesis alternative hypothesis test statistic P value conclusion about the null hypothesis and final conclusion that addresses the original claim Use the P value method Use the normal distribution as an approximation of the binomial distribution OA Ho p 0 20 H p 0 20 OC Ho p 0 20 H p 0 20 OE H P 0 80 H p 0 80 B Ho p 0 80 H p 0 80 OD Ho p 0 20 H p 0 20 OF H p 0 80 H p 0 80 The test statistic is z 1 17 Round to two decimal places as needed The P value is 0 1210 Round to four decimal places as needed Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim Ho There sufficient evidence to support the claim that the polygraph results are correct less than 80 of the time

A random sample of 854 births included 426 boys Use a 0 01 significance level to test the claim that 50 7 of newborn babies are boys Do the results support the belief that 50 7 of newborn babies are boys The test statistic for this hypothesis test is 0 48 Round to two decimal places as needed Identify the P value for this hypothesis test The P value for this hypothesis test is 0 631 Round to three decimal places as needed Identify the conclusion for this hypothesis test OA Fail to reject Ho There is sufficient evidence to warrant rejection of the claim that 50 7 of newborn babies are boys OB Fail to reject Ho There is not sufficient evidence to warrant rejection of the claim that 50 7 of newborn babies are boys OC Reject Ho There is sufficient evidence to warrant rejection of the claim that 50 7 of newborn babies are boys OD Reject Ho There is not sufficient evidence to warrant rejection of the claim that 50 7 of newborn babies are boys

In a study of 816 randomly selected medical malpractice lawsuits it was found that 476 of them were dropped or dismissed Use a 0 05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed revolut U Round to three decimal places as needed GIIS What is the conclusion about the null hypothesis QA Reject the null hypothesis because the P value is greater than the significance level a OB Fail to reject the null hypothesis because the P value is greater than the significance level c CC Fail to reject the null hypothesis because the P value is less than or equal to the significance level a D Reject the null hypothesis because the P value is less than or equal to the significance level a What is the final conclusion A There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed OB There is not sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed OC There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed D There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed

men she was 9 years of age a girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field She flipped a min 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 her hand without seeing it and without touching it Among 280 trials the touch therapists were correct 123 times Use a 0 10 significance level to test the claim that touch therapists use a method quivalent to random guesses Do the results suggest that touch therapists are effective Let p denote the population proportion of correct hand selections by touch therapists Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses Ho P H P nals Do not round

s used to treat asthma In a clinical trial of the drug 21 of 258 treated subjects experienced headaches based on data from er The accompanying calculator display shows results from a test of the claim that less than 12 of treated subjects experienced se the normal distribution as an approximation to the binomial distribution and assume a 0 01 significance level to complete gh e below p 0 12 0 P 0 12 whether to reject the null hypothesis Choose the correct answer below Fail to reject the null hypothesis because the P value is less than or equal to the significance level c Fail to reject the null hypothesis because the P value is greater than the significance level a Reject the null hypothesis because the P value is greater than the significance level a al to the significance level a 1 PropZTest prop 0 12 Z 1 908172033 p 0 0281844925 p 0 0813953488 n 258

Listed below are altitudes thousands of feet and outside air temperatures F recorded during a flight Find the a explained variation b unexplained variation and c indicated prediction interval There is sufficient evidence to support a claim of a linear correlation so it is reasonable to use the regression equation when making predictions For the prediction interval use a 95 confidence level with the altitude of 6327 ft or 6 327 thousand feet Altitude Temperature a Find the explained variation 3 60 Round to two decimal places as needed 7 34 16 24 19 9 27 28 31 41 32 59

Q Q x G E No because the graph has multiple peaks F No because the graph is always greater than or equal to zero G Yes because the graph satisfies all of the criteria for a normal curve H No because the highest point of the graph occurs at the mean

e amount of time adults spend watching television is closely monitored by firms because ps to determine advertising pricing for commercials Complete parts a through d Do you think the variable weekly time spent watching television would be mally distributed If not what shape would you expect the variable to have A The variable weekly time spent watching television is likely skewed right not norma distributed B The variable weekly time spent watching television is likely normally distributed C The variable weekly time spent watching television is likely skewed left not normally distributed D The variable weekly time spent watching television is likely uniform not normally distributed E The variable weekly time spent watching television is likely symmetric but not norma distributed

2 A Yes because the graph may not satisfy all of the criteria for a normal curve be satisfies at least one of the criteria B No because the graph is not always greater than or equal to zero C No because the highest point of the graph does not occur at the median n

se the results from a survey of a simple random sample of 1073 adults Among the 1073 respondents 68 rated themselves as above average drivers We want to test 13 20 Claim that of adults rate themselves as above average drivers Complete parts a through c a Identify the actual number of respondents who rated themselves as above average drivers Round to the nearest whole number as needed

study was conducted that resulted in the following elative frequency histogram Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable 0 4 0 2 1000 2000 3000 4000 OA The histogram is not bell shaped so a normal distribution could not be used as a model for the variable OB The histogram is bell shaped so a normal distribution could be used as a model the variable OC The histogram is not bell shaped so a normal distribution could be used as a mod the variable OD The histogram is bell shaped so a normal distribution could not be used as a mod the variable

lengths of human pregnancies are normally distributed with 266 days and ays Complete parts a and b below The figure to the right represents the normal curve with 266 days and a 16 days The area between x 290 and 305 is 0 0594 Provide two interpretations of this area ovide one interpretation of the area using the given values lect the correct choice below and fill in the answer boxes to mplete your choice pe integers or decimals Use ascending order A The proportion of human pregnancies that last between and days is B The proportion of human pregnancies that last less than more than 266 290 305

Dose the lengths of human pregnancies are normally distributed with 266 days and a Complete parts a and b below The figure to the right represents the normal curve with 266 days and a 16 days The area to the right of X 285 is 75 Provide two interpretations of this area wide one interpretation of the area using the given values act the correct choice below and fill in the answer boxes to plete your choice e integers or decimals A The proportion of human pregnancies that last less than days is 3 The proportion of human pregnancies that last more than days is s 266 285 O O B

The distribution of the sample mean x will be normally distributed if the sample a population that is normally distributed regardless of the sample size Choose the correct answer below O False True

b According to a certain survey adults spend 2 25 hours per day watching television on weekday Assume that the standard deviation for time spent watching television on a wee 1 93 hours If a random sample of 40 adults is obtained describe the sampling distribution the mean amount of time spent watching television on a weekday and o R c te TH with is approximately normal mplete parts a through d d dom sample of 40 adults results in a mean time wat nd 3 hours cimal places as needed of the Internet is that it is thought to reduce televisio has a uniform distribution d watching Suppose that a random sample of 35 individuals who

e the correct answer below false rue

120 psychology students took a standardized test The scores are summarized in the GFDT below Frequency 16 19 16 20 12 37 Scores 100 104 105 109 110 114 115 119 120 124 125 129 The scores are also described in the cumulative table shown below Scores less than 105 less than 110 less than 115 less than 120 less than 125 less than 130 Frequency 16 35 51 83 120 What is the missing value in the cumulative GFDT

Listed below are foot lengths mm and heights mm of males Find the regression equation letting foot length be the predictor x variable Fin the best predicted height of a male with a foot length of 273 1 mm How does the result compare to the actual height of 1776 mm Foot Length 282 0 277 7 252 8 259 2 279 4 257 8 274 2 261 8 G Height 1785 1 1770 9 1676 1 1645 9 1858 7 1710 4 1788 7 1737 0 The regression equation is y x Round the y intercept to the nearest integer as needed Round the slope to two decimal places as needed

Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in F Find the regression equation letting chirps 1 minute be the independent x variable Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute using the regression equation What is wrong with this predicted temperature Chirps in 1 min Temperature F 982 80 1177 980 1127 774 1210 885 753 74 8 64 4 85 2 82 7 89 8 64 6 86 3 The regression equation is y 27 4 0 0518 x Round the y intercept to one decimal place as needed Round the slope to four decimal places as needed The best predicted temperature at a time when a cricket chirps 3000 times in 1 minute based on the regression equation is 74 8 F Round to the nearest integer as needed

a Let g x 6 a f t dt where fis the function whose graph is shown f LA Evaluate g 4 Show work t

On one large campus 21 of students surveyed said that they spend less than an hour a night studying If three students are chosen randomly find the following probabilities Part 1 of 2 a What s the probability that all three spend less than an hour a night studying Express your answer as a decimal rounded to four decimal places The probability that all three spend less than an hour a night studying 0 0093 Part 1 2 Part 2 of 2 b What s the probability that two of the three spend less than an hour studying Express your answer as a decimal rounded to four decimal places Do not round any intermediate calculations The probability that two of the three spend less than an hour a night studying is

How large should n be to guarantee that the Simpson s Rule approximation to 1 13e n 2 200 dx is accurate to within 0 00001

A water taxi carries passengers from harbor to another Assume that weights of passengers are normally distributed with a mean of 19 The water taxi has a stated capacity of 25 passengers and the water taxi was rated for a load limit of 3750 lb Complete parts a through d below a Given that the water taxi was rated for a load limit of 3750 lb what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers The maximum mean weight is 150 lb Type an integer or a decimal Do not round b If the water taxi is filled with 25 randomly selected passengers what is the probability that their mean weight exceeds the value from part a The probability is 1 Round to four decimal places as needed c If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers what is the probability that their mean weight exceeds 187 5 lb which is the maximum mean weight that does not cause the total load to exceed 3750 lb The probability is Round to four decimal places as needed

35 lb The water taxi has a stated capacity of 25 passengers and the water taxi was rated for a load limit of 3750 lb Complete parts a through d below engers from harbor to another Assume that weights of passengers are normally distributed with a mean of 194 lb and a standard deviation The maximum mean weight is lb Type an integer or a decimal Do not round 0 of 1 a Given that the water taxi was rated for a load limit of 3750 lb what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity 25 passengers CELLE Save

12 Suppose a simple random sample of size 36 is selected from a population of size 1 044 with mean 8 and standard deviation 1 If the sampling distribution of x is constructed what is the expected value of x In other words what is the value of Answer Continue Deget answer

op 0 11 The sampling distribution of p is given below Find p 0 P P 0 2 Answer 1 3 0 6 2 3 0 2 Round your answer to the nearest thousandths

Question 8 of 17 8 Find the variance of the small population data set 0 1 0 1 0 1 0 0 1 0 Answer

5 The sampling distribution of x is given below Find X XI 1 0 P x 0 2 Answer 1 5 2 0 0 3 2 5 0 4 0 1 Round your answer to the nearest thousandths FANAR

4 The sampling distribution of x is given below Find X 3 0 P X Answer 3 5 0 2 0 3 40 0 4 4 5 0 1

2 What is the probability that a simple random sample of size 2 drawn from the small population 2 2 3 4 will result in a sample mean of 3 5 Round your answer to the nearest hundredths Answer Continue Reset answer

1 Use graphing technology where applicable to answer the following questions A neurologist wishes to determine if age affects how quickly a person reacts in a stressful situation such as being asked on the spot to talk about themselves for a minute Data on the ages and reaction times of a group of randomly chosen people are collected and shown below Age years 10 12 12 15 19 22 25 26 29 32 32 35 38 Reaction Time seconds 8 7 5 8 7 6 5 6 5 4 4 5 3 5 3 3 2 8 a Create a scatter plot and determine the line of best fit c Pr d Predic Comm may in

Question 17 of 17 17 Suppose a simple random sample of size 84 is selected from a large population in which 14 of the individuals have a characteristic of interest What approximately is the probability that p is less than 0 16 In other words find P p 0 16 Round your answer to the nearest hundredths Answer Previous Answer 0 03

y page of your document For each of the following questions identify whether it involves one variable analysis or two variable analys whether the variable s are discrete or continuous What are the 4 most popular songs played on the radio last week b How does the amount of fertilizer affect plant growth c How did the students in Mr Datahead s class perform in the recent Data Management test