For 311, please provide the following information. (a)

Chapter , Problem 8

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For 311, please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Compute the sample test statistic. What is the sampling distribution? What conditions are necessary to use this distribution? (c) Find the P-value of the sample test statistic. (d) Conclude the test. (e) Interpret the conclusion in the context of the application Psychology: Testing A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two groups. Both groups were told to eat the amount they usually eat for lunch at noon. At 2:00 P.M., all subjects were given the alertness test. Group A had a low-fat lunch with no red meat, lots of vegetables, carbohydrates, and fiber. Group B had a high-fat lunch with red meat, vegetable oils, and low fiber. The only drink for both groups was water. The test scores are shown below. Group A 76 93 52 81 68 79 88 90 67 85 60 Group B 44 57 60 91 62 86 82 65 96 42 68 98 Use a 1% level of significance to test the claim that there is no difference in mental alertness distributions based on type of lunch.

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