The mean life of a random sample of 20 tires of a certain brand is 27,500 mi.

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The mean life of a random sample of 20 tires of a certain brand is 27,500 mi.

(a) If the standard deviation of the population is known to be 3500 mi, what is the two-sided 90% confidence on the mean?

(b) If the variance of the population is not known and the standard deviation of the random sample is 3500 mi, what is the two-sided 90% confidence interval?

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