In: Math
A machine produces pipes used in airplanes. The average length of the pipe is 16 inches. The acceptable variance for the length is 0.3 inches. A sample of 17 pipes was taken. The average length in the sample was 15.95 inches with a variance of 0.4 inches.
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 a.  | 
 Construct a 95% confidence interval for the population variance.  | 
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 b.  | 
 State the null and alternative hypotheses to be tested.  | 
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 c.  | 
 Compute the test statistic.  | 
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 d.  | 
 The null hypothesis is to be tested at the 5% level of significance. State the decision rule for the test using the critical value approach.  | 
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 e.  | 
 What do you conclude about the population variance?  |