# Associated P-Value

4. Consider the following scenario:

Thomas Kaczy, owner of Hamilton Poultry, a national poultry distributor, based in New Hampshire, reported data on high egg production of Rhode Island Red hens. The number of eggs produced were 25, 28, 17, 26, 27, 22, 25, and 30. He was interested in determining if he could conclude that the mean age of the eggs of his sample was greater that 20. Let Î± = .01.

The null and alternative hypotheses for this problem are defined as:

H Ð¾ :Âµ = 20 and H a : Âµ > 20

Explain the meaning of a Type I error in the context of this problem.

Explain the meaning of a Type II error in the context of this problem.

Suppose Tom expanded his study to include a total of 50 Rhode Island Red hens and then calculated a test statistics of z = 2.33 for his hypothesis test. What is the associated p- value?

What is the conclusion for this test?

(Question also in attachment).

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#### Solution Preview

4. Consider the following scenario:

Thomas Kaczy, owner of Hamilton Poultry, a national poultry distributor, based in New Hampshire, reported data on high egg production of Rhode Island Red hens. The number of eggs produced were 25, 28, 17, 26, 27, 22, 25, and 30. He was interested in determining if he could conclude that the mean age of the eggs of his sample was greater that 20. Let Î± ...

#### Solution Summary

The solution determines the associated p-value.