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A pipes manufacturer makes pipes with a length that is supposed to be (17) inches. A quality control technician sampled (22) pipes and found that

A pipes manufacturer makes pipes with a length that is supposed to be \(17\) inches. A quality control technician sampled \(22\) pipes and found that the sample mean length was \(17.09\) inches and the sample standard deviation was \(0.27\) inches. The technician claims that the mean pipe length is not \(17\) inches.

What type of hypothesis test should be performed?

What is the test statistic?

Does sufficient evidence exist at the \(\alpha = 0.1\) significance level to support the technician's claim?

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