The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and

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The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters.

(a) Construct a 98% confidence interval for the mean height of all college students.

(b) What can we assert with 98% confidence about the possible size of our error it we estimate the mean height of all college students to be 174.5 centimeters?

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