# 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 1
3.2, 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 ( )

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:

B – The test of hypothesis in part b provides more information.

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