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To estimate µ, the average sugar content of a soda drink, 45 of sample drinks are...

To estimate µ, the average sugar content of a soda drink, 45 of sample drinks are randomly chosen, and their sugar contents are determined. (a) If the average sugar finding is ¯x = 1.74 grams, what is a 90% confidence interval for µ? (b) What is a 90% confidence upper bound for µ? (c) How large a sample is necessary to be 90% confident that µ differs from ¯x by less than or equal 0.3 grams? Assume that it is known from past experience that the standard deviation of the sugar content is equal to 0.7 grams.

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