# Question: question 5 given samples from two populations that you know...

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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.