Question 2. (50 Points) Inference on the mean of a normal population, variance known. According to managerial requiremen

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Question 2 50 Points Inference On The Mean Of A Normal Population Variance Known According To Managerial Requiremen 1 (90.49 KiB) Viewed 32 times

Question 2. (50 Points) Inference on the mean of a normal population, variance known. According to managerial requirements, the mean dispatch time in an industrial subprocess should be exactly equal to 15 min. An engineer uses a random sample of n = 21 dispatch time measurements to test whether the managerial requirement is met or not. The sample mean dispatch time is found to be ž= 16.3 min. It is assumed that dispatch time has a normal distribution with known variance O2 = 2.9 (min)2. (a) State the null and the alternative hypotheses of the test. [10 points) (b) Calculate the observed value of the Z-statistic, Zo, in the sample. [10 points) (c) State the rejection criterion for a fixed level test (the critical value approach) with a=0.05. [10 points) (d) Calculate the p-value ("observed significance level") of the test. [10 points] (e) What is the conclusion of the test in the context of the problem? (10 points)