Question: The MINITAB printout shows a test for the difference in two population means. Two-Sample T-Test and CI: Sample 1, Sample 2 Two-sample T for Sample

The MINITAB printout shows a test for the difference in two population means.
Two-Sample T-Test and CI: Sample 1, Sample 2
Two-sample T for Sample 1 vs Sample 2
The MINITAB printout shows a test for the difference in

Difference = mu (Sample 1) - mu (Sample 2)
Estimate for difference: 0.14
95% CI for difference: (- 5.2, 5.5)
T-Test of difference = 0 (vs not =):
T-Value = 0.06 P-Value = 0.95 DF = 11
Both use Pooled StDev = 4.38
a. Do the two sample standard deviations indicate that the assumption of a common population variance is reasonable?
b. What is the observed value of the test statistic? What is the p-value associated with this test?
c. What is the pooled estimate s2 of the population variance?
d. Use the answers to part b to draw conclusions about the difference in the two population means.
e. Find the 95% confidence interval for the difference in the population means. Does this interval confirm your conclusions in part d?

Sample 1 6 Sample 2 7 Mean 29.00 28.86 StDev 4.00 4.67 SE Mean 1.6 1.8

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