A certain stainless steel powder is supposed to have a mean particle diameter of 19 µm....

A certain stainless steel powder is supposed to have a mean particle diameter of 19 µm. A random sample of 87 particles had a mean diameter of 19.4 µm. It is known that the population has a standard deviation of 1.8 µm. Is there evidence that the mean particle diameter is not 19?

(a) State the appropriate null and alternative hypotheses.

(b) Compute the test statistic.

(e) Does the 90% confidence interval contain 19? Explain without computing.

(f) Does the 95% confidence interval contain 19? Explain without computing.

(g) Does the 99% confidence interval contain 19? Explain without computing.

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orchestra answered 2 years ago

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