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Lyon, Inc Manufactures Flash Drives on Two Different Manufacturing Processes

Question 152

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Lyon, Inc. manufactures Flash 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 2722 Sample Mean in minutes) 1014 Sample Variance 1625\begin{array}{lll}&\text { Process } 1&\text { Process } 2\\\text { Sample Size } & 27 & 22 \\\text { Sample Mean in minutes) } & 10 & 14 \\\text { Sample Variance } & 16 & 25\end{array}
a. State the null and alternative hypotheses.
b. Determine the degrees of freedom for the t test.
c. Compute the test statistic
d. At 95% confidence, test to determine if there is sufficient evidence to indicate that process 1 takes a significantly shorter time to manufacture the Flash drives.

Correct Answer:

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a. H0: μ1 - μ2 ≥ 0
Ha: μ1 - μ2...

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