Chapter 9, Problem 34PS

In Problem 3.69 on page 156, you were introduced to teabag-filling operation. An important quality characteristic of interest for this process is the weight of the tea in the individual bag. The file Teabags contains an ordered array of the weight, in grams, of a sample of 50 tea bags produced during an 8-hour shift.

a. Is there evidence that the mean amount of tea per bag is different from 5.5 grams? $\left(\text{Use }\alpha =\mathrm{0.01.}\right)$

b. Construct a 99% confidence interval estimate of the population mean amount of tea bag. Interpret this interval.

c. Compare the conclusions reached in (a) and (b).