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.

ProctoredNonproctored

12

n3233

x74.7487.88

s10.5621.23

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

What are the null and alternative hypotheses?

A.Ho: 1 = 2

H1: 1 < 2

B.Ho: 1 = 2

H1: 1 2

C.Ho: 1 = 2

H1: 1 > 2

D.Ho: 1 2

H1: 1 < 2

The test statistic, t, is____________.

(Round to two decimal places as needed.)

The P-value is_________.

(Round to three decimal places as needed.)

State the conclusion for the test.

A. Fail to reject Ho. There is sufficient evidence to support the claim that studentstaking nonproctored tests get a higher mean score than those taking proctored tests.

B. Reject Ho. There is not sufficient evidence to support the claim that students taking

nonproctored tests get a higher mean score than those taking proctored tests.

C.Reject Ho. There is sufficient evidence to support the claim that students taking

nonproctored tests get a higher mean score than those taking proctored tests.

D.Fail to reject Ho. There is not sufficient evidence to support the claim that studentstaking nonproctored tests get a higher mean score than those taking proctored tests.

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

________< 1 2 <________

(Round to two decimal places as needed.)

Does the confidence interval support the conclusion of the test?

(1) ________ because the confidence interval contains (2) ________

1) Yes,

No,

(2) only negative values.

zero.

only positive values.