1. A magazine reported that at the top 50 business schools in a region, students studied an average of 16.7 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 16. hour benchmark.

What is a Type I error for your test?

A.Concluding that the mean number of hours studied at your school is not different from the reported 16.7 hour benchmark when in fact it is different

B. Concluding that the mean number of hours studied at your school isnotdifferent from the reported 16.7 hour benchmark when in fact it isnotdifferent

C.Concluding that the mean number of hours studied at your school is different from the reported

16.7hour benchmark when in fact it is not different

What is a Type II error for your test?

A. Concluding that the mean number of hours studied at your school is different from the reported

16.7 hour benchmark when in fact it is not different

B. Concluding that the mean number of hours studied at your school isnotdifferent from the reported 16.7 hour benchmark when in fact it isnotdifferent

C. Concluding that the mean number of hours studied at your school is not different from the reported 16.7 hour benchmark when in fact it is different

2. A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.181 ounces, with a sample standard deviation of 0.056 ounce. Complete parts (a) and (b).

A. Identify the critical value(s).

The critical value(s) is(are) ______

(Round to four decimal places as needed. Use a comma to separate answers as needed.)

Determine the test statistic.

The test statistic is______

(Round to four decimal places as needed.)

B. Determine the p-value and interpret its meaning.

The p-value is_____

(Round to four decimal places as needed.)

Interpret the meaning of the p-value. Choose the correct answer below.

A.The p-value is the probability of not rejecting the null hypothesis when it is false.

B.The p-value is the probability of obtaining a sample mean that is equal to or more extreme than

0.011 ounce below 8.17 if the null hypothesis is false.

C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than

0.011 ounce above 8.17 if the null hypothesis is false.

D. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than

0.011 ounce away from 8.17 if the null hypothesis is true.

3. In a one-tail hypothesis test where you reject H0 only in the lower tail, it was found that the

p-value is 0.9846 if ZSTAT=+2.16.

What is the statistical decision if you test the null hypothesis at the 0.01 level of significance?

Choose the correct answer below.

A. Failtoreject the null hypothesis because the p-value is greaterthanorequalto the level of significance.

B. Reject the null hypothesis because the p-value is lessthan the level of significance.

C. Reject the null hypothesis because the p-value is greaterthanorequalto the level of significance.

D. Failtoreject the null hypothesis because the p-value is lessthan the level of significance.

4. A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use?

A. Z test of a population mean

B. t test of a population proportion

C. t test of population mean

D. Z test of a population proportion