A machine produces pipes used in airplanes. The average length of the pipe is 16 inches....

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A machine produces pipes used inairplanes. The average length of the pipe is 16 inches. Theacceptable variance for the length is 0.3 inches. A sample of17 pipes was taken. The average length in thesample was 15.95 inches with a variance of 0.4 inches.

a.

Construct a 95% confidence interval for the populationvariance.

b.

State the null and alternative hypotheses to be tested.

c.

Compute the test statistic.

d.

The null hypothesis is to be tested at the 5% level ofsignificance. State the decision rule for the test using thecritical value approach.

e.

What do you conclude about the population variance?

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