Question 5:
Given samples from two populations that you know are normally
distributed. You don't know the population variances, but you do
know they are equal. The sample mean and standard deviation from a
sample of size 12 from population A is 36 and 4.91, respectively.
The sample mean and standard deviation from a sample of size 11
from population B is 30 and 4.0, respectively.
Conduct a two-sided hypothesis test using the observed
significance level with alpha = .01 that the population means are
equal versus the alternative that they are not.
What is the value of the pooled standard
deviation, ?
What is the value of the test statistic, ?
How many degrees of freedom are associated with ?
What is the p-value associated with ?
If you would reject the null hypothesis, enter 1;
If you would fail to reject the null hypothesis, enter 2.