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An article explored the relationship between students who skip breakfast and their performance on a number...

An article explored the relationship between students who skip breakfast and their performance on a number of cognitive tests. According to their findings, blood glucose levels in the morning, after a 9-hour fast, have a mean of 4.60mmo/L with a standard deviation of 0.16mmo/L.

a. Determine the sampling distribution of the sample mean for samples of size 60.

b. Repeat part (a) for samples of size 120.

c. Must you assume that the blood glucose levels are normally distributed to answer parts (a) and (b)? Explain your answer.

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