A soft-drink firm is evaluating an investment in a new type of canning machine. The comp...

A soft-drink firm is evaluating an investment in a new type of canning machine. The company has already determined that it will be able to fill more cans per day for the same cost if the new machines are installed. However, it must determine the variability of fills using the new machines, and wants the variability from the new machines to be equal to or smaller than that currently obtained using the old machines. A study is designed in which random samples of 61 cans are selected from the output of both types of machines and the amount of fill (in ounces) is determined. The data are summarized in the following table and boxplots.

a. Estimate the standard deviations in fill for types of machines using 95% confidence intervals.

b. Do these data present sufficient evidence to indicate that the new type of machine has less variability of fills than the old machine?

c. Do the necessary conditions for conducting the inference procedures in parts (a) and (b) appear to be satisfied? Justify your answer.