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Statistics - P Value

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1. A college professor claims that the average cost of a textbook is greater than $27.50. A sample of 50 books has an average cost of $29.30. The standard deviation of the sample is $5.00.
Find the p value for the test.
On the basis of the p-value, should the null hypothesis be rejected at =.05

2. Use the traditional method of hypothesis testing to determine the following problem:
Eighteen 5 gallon containers of fruit punch are selected and each is tested to determine its weight in ounces. The variance of the sample is 6.5.
Test the claim that the population variance is greater than 6.2 at (I think the sign is a one tail but I cant type it in ) =.01

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This solution shows all the steps for solving the given hypothesis testing problem.

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