Maxforce, Inc., manufactures racquetball racquets by two different manufacturing processes (A and B). Because the management of this company is interested in estimating the difference between the average time it takes each process to produce a racquet, they selected independent samples from each process. The results of the samples and the population variances are shown below.
Process A
Process B
Sample Size30
35
Sample Mean (in minutes)43
48
Population Variance (?2)64
70
?
a.Develop a 95% confidence interval estimate for the difference between the average time taken by the two processes.b.Is there conclusive evidence to prove that one process takes longer than the other? If yes, which process? Explain.
What will be an ideal response?
?
| a. | -8.98 to -1.02 |
| b. | Yes, because the range of the interval is from a negative to a negative value, it indicates that process B takes longer. |
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