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 distributedpopulations, and do not assume that the population standard deviations are equal. Complete parts(a) and(b) below.

Proctored

Nonproctored

1

2

n

33

35

x

74.85

86.71

s

11.97

19.54

Find the null and alternative hypothesis, test statistic, p value, conclusion, confidence interval, and confidence interval conclusion