QUESTION 7 second attempt

A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts.

Proctored Nonproctored

1 2

n 30 35

X 77.75 85.79

S 10.69 18.89

a. Test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

What are the null and alternativehypotheses?

A.

H0: 1=2

H1: 1>2

B.

H0: 1=2

H1: 1<2

C.

H0: 1=2

H1: 12

D.

H0: 12

H1: 1< 2

The teststatistic, t, is ____________

The P-value is _______________

State the conclusion for the test.

A.

Fail to reject Upper H 0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

B.

Fail to reject Upper H 0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

C.

Reject Upper H 0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

D.

Reject Upper H 0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

___________< 1- 2<________________

Does the confidence interval support the conclusion of the test?

(YES,NO) ________because the confidence interval contains (zero, only negatives values, only positive values)_________