# Two sample test of hypothesis of a population

The null and alternate hypotheses are:

H0: u1 equal 2

H1: u1 not equal to 2

A random sample of 15 observations from the first population revealed a sample mean of

350 and a sample standard deviation of 12. A random sample of 17 observations from the

second population revealed a sample mean of 342 and a sample standard deviation of 15.

At the .10 significance level, is there a difference in the population means?

Note: Use the five-step hypothesis testing procedure for the following exercises.

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#### Solution Preview

Null Hypothesis:

The difference between the mean of the two populations is equal to 2.

Alternative Hypothesis:

The difference between the mean of the two populations is not equal to ...

#### Solution Summary

The solution tests the population using a two sample hypothesis test.

$2.19