Question

Consider the computer output below.
Two-Sample T-Test and CI

Sample	N	Mean	StDev	SE Mean
1	15	54.87	2.13	0.55
2	20	58.54	5.28	1.2

Difference = μ1-μ2
Estimate for difference: –3.91
95% upper bound for difference: ?
T-test of difference = 0 (vs <): T-value = -2.82

(a) Fill in the missing values. Use lower and upper bounds for the P-value. Suppose that the hypotheses are H0: μ1-μ2=0 versus H1: μ1-μ2<0. Enter your answer; P-value, lower bound <P< Enter your answer; P-value, upper bound DF = _______ Determine a 95% upper bound for difference. Round your answer to four decimal places (e.g. 98.7654). μ1-μ2≤ _________

Is this a one-sided or a two-sided test? A. The test is one-sided. B. The test is two-sided.

(b) What are your conclusions if α=0.05? What if α=0.01? A. We reject the null hypothesis at the 0.05 and do not reject it at the 0.01 level of significance. B. We do not reject the null hypothesis at the 0.05 and reject it at the 0.01 level of significance. C. We do not reject the null hypothesis at the 0.05 or the 0.01 level of significance. D. We reject the null hypothesis at the 0.05 or the 0.01 level of significance.

(c) This test was done assuming that the two population variances were different. Does this seem reasonable? A. Yes. B. No.

(d) Suppose that the hypotheses had been H0: μ1=μ2 versus H1: μ1≠μ2. What would your conclusions be if α=0.05? A. Do not reject the null hypothesis. B. Reject the null hypothesis.

Answer 1