Consider the hypothesis statement below using =0.05 and the data below from two
ID: 3056454 • Letter: C
Question
Consider the hypothesis statement below using =0.05 and the data below from two independent samples.
Sample 1 Sample 2
Sample Mean 84 73
Population Std Dev 23 20
Population Size 55 60
a) The test statistic is _____.
(Round to two decimal places as needed.)
Determine the appropriate critical value(s).
The critical value(s) is(are) _____.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Since the test statistic (falls/does not fall) in the rejection region, (reject/do not reject) .
There is (sufficient/insufficient) evidence to conclude that the mean of population 1 is greater than the mean of population 2.
b) The p-value is _____.
(Round to three decimal places as needed.)
Since the p-value is (less than/greater than) , (reject/do not reject) .
There is (sufficient/insufficient) evidence to conclude that the mean of population 1 is less than the mean of population 2.
Explanation / Answer
Solutiona:
Z=x1-x2/sqrt(s1^2/n1+s2^2/n2)
=84-73/sqrt(23^2/55+20^2/60)
=11/sqrt(23^2/55+20^2/60)
=2.73
test statistic:2.73
The critical value(s) is(are) _
-1.96 and +1.96
the test statistic (does not fall) in the rejection region, (reject) .
There is (sufficient) evidence to conclude that the mean of population 1 is greater thanthe mean of population 2.
SOlutionb:
p=0.003
Since the p-value is (less than) , (reject
There is (sufficient) evidence to conclude that the mean of population 1 is less thanthe mean of population 2.