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The mean daily energy requirement for eight-year-old boys is 2200 calories. An education researcher believes many students in this group do poorly in school because they have an inadequate diet and therefore not enough energy. A random sample of academically at-risk eight-year-old boys was obtained, and their caloric intake was carefully measured for one day. The summary statistics were n = 37, x‾ = 2089. Assume σ = 358.

a. Is there any evidence this group of students has a mean caloric intake below the daily energy requirement? Use a = 0.05.

b. How would your answer to part (a) change if a 5 0.01?

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