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In: Statistics and Probability

The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...

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 was performed and the average diameter was 0.2545 inch.

a. Set up appropriate hypotheses on the mean

b. Test these hypotheses using α = 0.05 and α = 0.1. What are your conclusions?

c. Find the P-value for this test.

d. Construct a 95% confidence interval (CI) for the mean shaft diameter.

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Expert Solution

orchestra answered 2 years ago
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