A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with o = 0.020 %3D millimeters. A random sample of 8 rings has a mean diameter of Xbar= 74.036 millimeters. %3D (a) Construct a 95% lower confidence bound on the mean piston ring diameter. Illustrate your answer. (b) Test Ho: u - 74.000 versus H1: u 74.000 using a = 0.05. (c) What is the power of this test if u = 74.010?

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A: Solution Given the test is a left tailed test  So the alternative hypothesis is left tailed.

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A:

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A: Using calculator:

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A: Given:

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Q: Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of…

A: Decision Rule: If p-value ≤ α, then reject the null hypothesis. Conclusion: The level of…

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A:

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Q: In building an arena , steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa )…

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Q: Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of…

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A:

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A:

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A: We will solve this using formula for 95% confidence level