Question: [20] QUESTION 3 A new manufacturing method is supposed to increase the average life span of electronic com- ponents, while the variance of the life

 [20] QUESTION 3 A new manufacturing method is supposed to increase

[20] QUESTION 3 A new manufacturing method is supposed to increase the average life span of electronic com- ponents, while the variance of the life span is expected to stay the same. Using the previous manufacturing method, the average life span was 110 hours with a variance of 9 hours. The manu- facturer measures the life spans of a sample of components manufactured using the new method. The sample of 20 yields a sample mean of 125 for the life spans of the components. Does the data provide sufficient evidence for the claim at the 1% level of significance? Clearly show how you draw a conclusion when you test this hypothesis, using both methods, i.e. (a) critical value approach, and (15) (b) p-value approach. (5) [20]

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