Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes less manufacturing time, they selected independent samples from each process. The results of the samples are shown below.
Process 1 Process 2
Sample Size 200 43
Sample Mean (in minutes) 10 12
Population Variance 16 25
a. State the null and alternative hypotheses
b. At 99% confidence, test to determine if there is sufficient evidence to indicate that process 2 takes a significantly longer time to manufacture the Zip drives.
c. At 99% confidence, are the two processes significantly different from one another?