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The weights of a random sample of 49 university male first-year students yielded a mean of 165 pounds and a standard deviation of 6.5 pounds.

a. Determine a 90% confidence interval for the mean weight of all university male first-year students.

b. Determine a one-side lower and one-sided upper 90% confidence interval for the mean weight of all university male first-year students.

c. Discuss why the differences between the values in Part A and Part B occur.

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