A Lathe Is Set to Cut Bars of Steel into Lengths

Short Answer

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.
a. Formulate the hypotheses to determine whether or not the lathe is in perfect adjustment.
b. Compute the test statistic.
c. Using the p-value approach, what is your conclusion? Let α = .05.