# Hypothesis testing to compare two populations

11.The company believes that it averages about the same weight per bag in each of two production lines. To test this idea, they will perform a hypothesis test to compare the two lines at the alpha level of 0.05. State the null and alternative hypotheses:

12.If the test calculates a sample Z of 1.69, what is the corresponding p value?

13.If we have two samples, one with a mean of 20.5 and standard deviation of 0.91 and one with a mean of 22.4 and standard deviation of 0.32, what might we be able to tell about these two samples and how would we test it? What else might we need to know?

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#### Solution Preview

11. The company believes that it averages about the same weight per bag in each of two production lines. To test this idea, they will perform a hypothesis test to compare the two lines at the alpha level of 0.05. State the null and alternative hypotheses:

Denote by mu1, mu2 the weights per bag in two production lines. Then we can set up the null and alternative hypotheses as follows.

The null hypothesis: mu1=mu2

The ...

#### Solution Summary

The solution consists of an explanation of testing two populations' means.