If you have a chance please answer as many as possible, thankyou and I really appreciate your help experts!
Question 16 2 pts
In a hypothesis test, the claim is μ≤28 while the sample of 29has a mean of 41 and a standard deviation of 5.9. In thishypothesis test, would a z test statistic be used or a t teststatistic and why?
| t test statistic would be used as the sample size is less than30 |
| t test statistic would be used as the standard deviation isless than 10 |
| z test statistic would be used as the mean is less than than30 |
| z test statistic would be used as the sample size is greaterthan 30 |
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Question 17 2 pts
A university claims that the mean time professors are in theiroffices for students is at least 6.5 hours each week. A randomsample of eight professors finds that the mean time in theiroffices is 6.2 hours each week. With a population standarddeviation of 0.49 hours, can the university’s claim be supported atα=0.05?
| No, since the test statistic is in the rejection region definedby the critical value, the null is rejected. The claim is the null,so is not supported |
| Yes, since the test statistic is not in the rejection regiondefined by the critical value, the null is not rejected. The claimis the null, so is supported |
| Yes, since the test statistic is in the rejection regiondefined by the critical value, the null is not rejected. The claimis the null, so is supported |
| No, since the test statistic is not in the rejection regiondefined by the critical value, the null is rejected. The claim isthe null, so is not supported |
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Question 18 2 pts
A credit reporting agency claims that the mean credit card debtin a town is greater than $3500. A random sample of the credit carddebt of 20 residents in that town has a mean credit card debt of$3619 and a standard deviation of $391. At α=0.10, can the creditagency’s claim be supported?
| Yes, since p-value of 0.09 is less than 0.55, reject the null.Claim is alternative, so is supported |
| No, since p-value of 0.09 is greater than 0.10, fail to rejectthe null. Claim is alternative, so is not supported |
| Yes, since p-value of 0.19 is greater than 0.10, fail to rejectthe null. Claim is null, so is supported |
| No, since p-value of 0.09 is greater than 0.10, reject thenull. Claim is null, so is not supported |
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Question 19 2 pts
A car company claims that its cars achieve an average gasmileage of at least 26 miles per gallon. A random sample of eightcars from this company have an average gas mileage of 25.6 milesper gallon and a standard deviation of 1 mile per gallon. Atα=0.06, can the company’s claim be supported?
| No, since the test statistic of -1.13 is close to the criticalvalue of -1.24, the null is not rejected. The claim is the null, sois supported |
| Yes, since the test statistic of -1.13 is not in the rejectionregion defined by the critical value of -1.77, the null is notrejected. The claim is the null, so is supported |
| Yes, since the test statistic of -1.13 is not in the rejectionregion defined by the critical value of -1.55, the null isrejected. The claim is the null, so is supported |
| No, since the test statistic of -1.13 is in the rejectionregion defined by the critical value of -1.77, the null isrejected. The claim is the null, so is not supported |
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Question 20 2 pts
A researcher wants to determine if extra homework problems help8th
grade students learn algebra. One 8th grade class hasextra homework problems and another 8th grade class doesnot. After 2 weeks, the both classes take an algebra test and theresults of the two groups are compared. To be a valid matched pairtest, what should the researcher consider in creating the twogroups?
| That the group without extra homework problems receivesdifferent instruction |
| That the group with the extra homework problems has fewer afterschool activities |
| That each class has similar average IQs or abilities inmathematics |
| That each class of students has similar ages at the time of thetesting |
