# Independent random samples from normal populations produced the

Independent random samples from normal populations produced the results shown in the table. Complete parts a through d.
sample 13.2, 2.2, 2.7, 1.4, 2.1
sample 2 2.9, 3.4, 3.4, 3.1
The Minitab output is given below,
Two-Sample T-Test and CI: Sample 1, Sample 2

Two-sample T for Sample 1 vs Sample 2

N Mean StDev SE Mean
Sample 1 5 2.320 0.676 0.30
Sample 2 4 3.200 0.245 0.12

Difference = μ (Sample 1) – μ (Sample 2)
Estimate for difference: -0.880
95% CI for difference: (-1.730, -0.030)
T-Test of difference = 0 (vs ≠): T-Value = -2.45 P-Value = 0.044 DF = 7
Both use Pooled StDev = 0.5356

a.) calculate the pooled estimate of σ2.
s2p = (round to four decimal places as needed)
b.) Do the data provide sufficient evidence to indicate that u2 > u1? Test using a = 0.05
Yes ( )No ( )Please select one.
c.) Find a 95% confidence interval for (u1-u2)
Confidence interval is (round to two decimal places as needed)
d.) Which of the two inferential procedures, the test of hypothesis in part b or the confidence interval in part c, provides more information about (u1-u2)?
Select one:A – The confidence interval in part c provides more information about u1 – u2
B – The test of hypothesis in part b provides more information.

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