Question

# A study was done on proctored and nonproctored tests. The results are shown in the table....

 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. Use a 0.05 significance level for both parts. Proctored: n = 33, x bar = 77.98, s = 10.44 Nonproctored: n = 31, x bar = 81.95, s = 20.69

a. The test​ statistic, t, is ___?   ​(Round to two decimal places as​ needed.)

b. The​ P-value is ___?   ​(Round to three decimal places as​ needed.)

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

___ < μ1 − μ2 < ___   ​(Round to two decimal places as​ needed.)

d. Does the confidence interval support the conclusion of the​ test?

(Yes/No), because the confidence interval contains (only positive values/only negative values/zero).

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