Question: Refer to Exercise 59. Suppose the sample size had been only 12 instead of 100. Suppose, too, that the population standard deviation is unknown, but

Refer to Exercise 59. Suppose the sample size had been only 12 instead of 100. Suppose, too, that the population standard deviation is unknown, but the sample standard deviation is 83 points. 

a. Show the 95% confidence interval that would be appropriate here. 

b. What additional assumption about the population would have to be made?

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