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.)

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