In Problem 3.67 on page 135, you were introduced to a tea-bag-filling operation. An important quality characteristic of interest for this process is the weight of the tea in the individual bags. The file contains an ordered array of the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shift.
a. Is there evidence that the mean amount of tea per bag is different from 5.5 grams? (Use α = 0.001.)
b. Construct a 99% confidence interval estimate of the population mean amount of tea per bag. Interpret this interval.
c. Compare the conclusions reached in (a) and (b).