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In: Statistics and Probability

The sugar content in a one-cup serving of a certain breakfast cereal was measured for a...

The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 125 servings. The sample mean sugar content was 11.9g and the sample standard deviation was 1.1g.
(a) Find a 99% confidence interval for the mean sugar content.
(b) How large a sample is needed so that a 99% confidence interval specifies the mean to within +0.1 (assume the standard deviation is still 1.1g)?

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