Question

A study was done on prot and non-pro tests. The results are shown in the table....

A study was done on prot and non-pro 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 significance level 0.01 for both parts.

___________________________________________________________________
Pro Non-pro
   μ    μ1    μ2
n 34    32
  x    74.86    83.25
s    10.51    18.27

_______________________________________________

Test the claim that students taking non-pro tests get a higher mean score than those taking pro tests.

What are the null and alternative hypotheses?
A.    Ho: μ1 = μ2
H1: μ1 < μ2

B.    Ho: μ1 = μ2
H1: μ1 ≠ μ2

C. Ho: μ1 = μ2
   H1: μ1 > μ2

D. Ho: μ1 ≠ μ2
   H1: μ1 < μ2

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 students taking non-pro tests get a higher mean score than those taking pro tests.

B. Reject Ho. There is not sufficient evidence to support the claim that students taking
non-pro tests get a higher mean score than those taking pro tests.

C. Reject Ho. There is sufficient evidence to support the claim that students taking
non-pro tests get a higher mean score than those taking pro tests.

D. Fail to reject Ho. There is not sufficient evidence to support the claim that students taking non-pro tests get a higher mean score than those taking pro tests.

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


________< μ1 − μ2 <________
(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.

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