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Fully and accurately answer the two questions with all of their parts. Fully and accurately answer the two questions with all of their parts.

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Homework 2 Total Points: 5 Due date: 07/10/2018 1. (2.​5 points​) Suppose that we are testing ​H0​ :​ ​µ = ​µ​0 versus ​H​1:​ ​µ ≠ ​µ​0.​ Calculate the ​P​-value for the following observed values of the test statistic: (a) Z​0​ = 2.25 (b) Z​0​ = 1.55 (c) Z​0​ = 2.10 (d) Z​0​ = 1.95 (e) Z​0​ = -0.10 2. (2.​5 points​) The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard deviation of = 0.0001 inch. A random sample of 10 shafts has an average diameter of 0.2545 inches. a. S ​ et up the appropriate hypotheses on the mean. b. Test these hypotheses using = 0.05. What are your conclusions? c. Find the ​P​-value for this test. d. Construct a 95 percent confidence interval on the mean shaft diameter. 1
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