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A teacher does not believe that her class' overall exam mean is a 70. She takes a sample of 60 of her students and calculates

A teacher does not believe that her class' overall exam mean is a 70. She takes a sample of 60 of her students and calculates their average to be 63.

a.) Assuming the population standard deviation is 10, create a 99% confidence level for the true mean of exam grades.

b.) Now using a sample standard deviation of 23, find the 99% confidence interval for the true mean average of exam grades.

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