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# Statistical Analysis for a Random Sample

Independent random samples from approximately normal populations produced the results shown below. Complete parts a and b.

Sample 1: 42, 29, 38, 37, 40, 40, 22, 39, 57, 55
Sample 2: 70, 55, 50, 54, 52, 23, 30, 30, 43, 61

a. Do the data present sufficient evidence to conclude that u1 - u2 does not equal 0? Use alpha = 0.10.

Let u1 be the mean of population 1 and u2 be the mean of population 2. Select the correct hypotheses below:
A. H0: u1 - u2 = 0, Ha: u1 - u2 > 0
B. H0: u1 - u2 = 0, Ha: u1 - u2 < 0
C. H0: u1 - u2 = 0, Ha: u1 - u2 does not equal 0

Now find the test statistic.
t = ? (Round to two decimal places as needed.)
Find the critical value(s).
Find the p-value.
p-value = ? (Round to two decimal places as needed.)

Choose the correct conclusion below.
A. Do not reject H0 = There is insufficient evidence that means differ.
B. Do not reject H0 = There is sufficient evidence that the means differ.
C. Reject H0 = There is sufficient evidence that the means differ.
D. Reject H0 = There is insufficient evidence that the means differ.

The confidence interval is (_,_).
(Round to three decimal places as needed.)

#### Solution Summary

A statistical analysis for a random sample normal population are given.

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