In: Statistics and Probability
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)?