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A factory has both automated and manual assembly processes. Historical records show that the standard deviation...

A factory has both automated and manual assembly processes. Historical records show that the standard deviation for the automated process is 25, and that the standard deviation for the manual process is 31. Random samples of 100 days of production for each process are obtained from the company’s records. The samples show a mean for the automated process of 256, and a mean for the manual process of 249. Is there sufficient evidence to support the claim that the automated process is more productive?

a. Would the test be one-tailed or two-tailed? Briefly explain.

b. What are the null and alternative hypotheses?

c. At alpha = 0.01, what would be the critical value(s)?

d. Calculate the test statistic. What decision can you make?

e. Summarize your results.

Thank you!!

Math   Statistics-And-Probability   
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