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1. The heights of a random sample of 60 college students showed a mean of 69.2 inches and a standard deviation of 2.1 inches.

a) Construct a 95% confidence interval for the mean height of all college students: b) What can we assert with 95% confidence about the possible size of our error if we estimate the mean height of all college students to be 69.2 inches? c) How large of a sample size is needed if we wish to be 95% confident that our sample mean will be within 0.25 inch of the true mean?

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