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.			Proctored	Nonproctored
	1	2
n	34	30
x	77.51	85.46
s	11.86	19.47

Questions:

Use a 0.01 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

1. What are the null and alternative hypotheses?

2. The test statistic t= ________________ (round to two decimal places as needed.)

3. The p-value=__________________ (round to three decimal places as needed.)

4. What is the conclusion? (Reject or fail to reject)_____________

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

_________

6. Does the confidence interval support the conclusion test? (yes or No)______________