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

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The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. The average was 11.9 g and the standard deviation was 1.1 g.

a. Find a 95% confidence interval for the mean sugar content.

b. Find a 99% confidence interval for the mean sugar content.

c. What is the confidence level of the interval (11.81, 11.99)?

d. How large a sample is needed so that a 95% confidence interval specifies the mean to within±0.1?

e. How large a sample is needed so that a 99% confidence interval specifies the mean to within±0.1?

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