Question: A production supervisor wants to determine if changes in a production process reduce the amount of time necessary to complete a subassembly. Specifically she wishes

A production supervisor wants to determine if changes in a production process reduce the amount of time necessary to complete a subassembly. Specifically she wishes to test Ho∶ ???? = 30 against the alternative hypothesis, Ha∶ ???? < 30, with ???? = 5%. The measurements are in minutes.

(a) Find the critical region for the test (in terms of X) if a sample of four times is taken and the true variance is assumed to be 1.2.

(b) Now suppose a sample gave X = 29.06 and s2 =1.44. Is the hypothesis accepted or not?

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