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A certain type of stainless steel powder is supposed to have a mean particle diameter of...

A certain type of stainless steel powder is supposed to have a mean particle diameter of 15 microns. A random sample of 50 particles had a mean diameter of 15.2 microns. If the population standard deviation is 0.6 microns, is there any evidence to suggest that the population has a mean diameter of 15 microns? Assume ? = 0.05.

a. Use P-value method to test the hypothesis.

b. Clearly write your conclusion.

c. If the true mean diameter is 15.2 microns, what is the type II error?

d. If the true mean diameter is 15.2 microns, what should be the minimum sample size needed to recognize it with 99% probability.

Math   Statistics-And-Probability   
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Answer #1

Given that sample size =n= 50

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