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Suppose the contract with your parts supplier allows you to reject a shipment if there’s evidence…

Suppose the contract with your parts supplier allows you to reject a shipment if there’s evidence…

Suppose the contract with your parts supplier allows you to reject a shipment if there's evidence of too much uncertainty in the diameters of the parts. Let's explore this situation a bit. (a) Assuming an hypothesis test is intended, the word “evidence” in the phrase “… evidence of too much uncertainty” refers to what? (b) What parameter will you be monitoring? (c) If the mean diameter is exactly 3.2 mm and the standard deviation exactly 0.025 mm, what proportion of the parts would be useless? Assume a part is useless if it has a diameter less than 3.15 mm. (d) Redo part (c) assuming the standard deviation is 0.05. (e) Suppose the contract allows for rejection of a shipment if there 's evidence the standard deviation of diameters is greater than 0.025 mm. Set up the hypotheses for this test.(f) Why is σ2 (g) Does a sample with S2 > 0.000625 provide evidence to support HA?