Use the given sample data to construct the indicated confidence interval for the population mean.

6)A sociologist develops a test to measure attitudes about public transportation, and 11 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is s=21.4. Construct the 90% confidence interval for the mean score of all such subjects. Assume the population is normally distributed.

A) (63.6, 88.8)

B) (64.5, 87.9)

C) (68.2, 84.3)

D) (69.2, 83.2)

E) (61.8, 90.6)

Determine the appropriate decision rule for the given hypothesis test.

7)Suppose we conduct a hypothesis test and we obtain a p-value of 0.0625. We are making our decision rules at the significance levels=.01, =.05,and=.10.Which of the following statements is TRUE?

A)Reject H0at both=.05and=.10B)Reject H0at only=.01

C)Reject H0at both=.01and=.05

D)Reject H0at only=.10

E)Reject H0at=.01, =.05,and=.10

8)Suppose we claim that the average GPA for all students at a University (with at least 60 hours completed) is more than 2.7. From a sample of 25 students, the average GPA is 2.85 with a standard deviation of 0.6. The GPA's are normally distributed and =0.10. Choose the appropriate decision rule below.

A)Reject H0ift< -1.318

B)Reject H0ifz< -1.28

C)Reject H0ift>2.492

D)Reject H0ifz>1.28

E)Reject H0ift>1.318

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

9)You are given the following hypothesis statememts: H0: H1: <50

Which of the following statements represents aType IIerror?

A)Rejecting the null hypothesis when in fact 50 .

B)Failing to reject the null hypothesis when in fact 50.

C)Rejecting the null hypothesis when in fact <50.

D)Failing to reject the null hypothesis when in fact <50.Determine the P-value.

10)For a right-tailed test with a test statistic z=0.75, find the p-value.

A) 0.8869

B) 0.2266

C) 0.7734

D) 0.1131