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.)





