### Compute the p-value of the test statistic

##### Reference no: EM13115848

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.

Process1 Process2
Sample Size 27 22
Sample Mean(minute) 10 14
Sample Variance 16 25

At 0.05 level of significance,

(a). State the null and alternative hypotheses.
(b). Determine the degree of freedom for the test.
(c). Compute the test statistic.
(d). Calculate the p-value of the test statistic and discuss whether there is sufficient evidence to indicate that process 1 takes a statistically significant shorter time to manufacture the drives.

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