A random sampling of 50 DSU full-time faculty salaries indicates an average salary of $65,000 with a sample variance of $77,000. Data for all Utah university faculty suggests a variance (Sigma^2) of $94,000. Answer the following questions to test DSU administration’s claim that the variance in full-time faculty salaries at DSU is less than that for Utah institutions of higher education in general (alpha=0.20).H0: sigma^2 [c1] 94,000 (enter correct sign(s))H1: sigma^2 [c2] 94,000 (enter correct sign(s))The claim is an [m1] (enter H0 or H1)The critical value on the left, if there is one = [cv1] (round to 2 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 2 decimals-if none, enter “na”)The test statistic = [ts] (round to 2 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

A random sampling of n=20 Jeep owners showed an average spend on aftermarket accessories of $2225, with a standard deviation of $700. Using an alpha of 0.10, answer the following questions related to a claim that the average amount Jeep owners spend on aftermarket accessories is less than $2,500. H0: mu [c1] $2500 (enter correct sign(s))H1: mu [c2] $2500 (enter correct sign(s))The claim is an [m1] (enter H0 or H1)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

If there is a graded group assignment, I am entitled to the group’s score even if I do not  participate in doing the assignment   A.   True                           B.   False

A professor claims that for the population of statistics final exams in their classes, the mean score is not 85.0, given the following statistics from a random sampling. (n=100; x-bar=88.0; s=10.5, alpha=0.01). Answer the following questions:H0: mu [c1] 85.0 (enter correct sign(s))H1: mu [c2] 85.0 (enter correct sign(s))The claim is [m1] (enter either H1 or H0)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (“yes” or “no”)

An insurance company undertakes a study of distracted driving. In a random sampling of 390 drivers, 190 admit to being regularly distracted while driving (e.g., texting, changing music, eating/drinking, etc.). Use an alpha=0.05 to test the claim that half (50%) or more of all drivers are regularly distracted while driving. Answer the following questions:H0: p [c1] 50% (enter correct sign(s))H1: p [c2] 50% (enter correct sign(s))The claim is [m1] (enter H1 or H0)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

A professor claims that for the population of statistics final exams in their classes, the mean score is less than 85.0, given the following statistics from a random sampling. (n=60; x-bar=82.0; s=14.0, alpha=0.01). Answer the following questions:H0: mu [c1] 85.0 (enter correct sign(s))H1: mu [c2] 85.0 (enter correct sign(s))The claim is [m1] (enter either H1 or H0)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (“yes” or “no”)

A claim is made that the proportion of kids who play sports is not 33%. A sample of n=200 subjects is randomly selected, and data shows 29% play a sport. Assume an alpha of 0.20, and answer the following questions:H0: p [c1] 33% (enter correct sign(s))H1: p [c2] 33% (enter correct sign(s))The claim is [m1] (enter H0 or H1)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

A manager, upon seeing the test results from a random sampling of bottles of 16 oz. soda claims that the average weight of all such soda is not more than 16 oz. Answer the following questions, given the sample data alpha=0.10, sample size of 130, sample mean of 16.1 ounces, and standard deviation of 0.62 ounces.H0: mu [c1] 16 ounces (enter correct sign(s))H1: mu [c2] 16 ounces (enter correct sign(s))The claim is [m1] (enter H1 or H0)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

A claim is made that the proportion of kids who play sports is at least 33%. A sample of n=250 subjects is randomly selected, and data shows 28% play a sport. Assume an alpha of 0.01, and answer the following questions:H0: p [c1] 33% (enter correct sign(s))H1: p [c2] 33% (enter correct sign(s))The claim is [m1] (enter H0 or H1)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

A group of 62 randomly selected students have a mean placement test score of 28.3 with a standard deviation of 3.4. Based on a 90% confidence level, answer the following questions.What is E (the error value) used to find the confidence interval? [err] (round to 2 decimal places)The confidence interval for the population mean is [confL]