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In: Statistics and Probability

A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe...

A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters. The hypotheses to determine whether or not the lathe is in perfect adjustment follows: H0: m = 6 Ha: m =/ 6

Compute the test statistic. (round to two decimal places)

Using the p-value approach, what is your conclusion? Let a = .05. hypothesis

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