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 144 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.09 centimeters with a standard deviation of .48 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 a = .05. d. What does the test result mean in the context of this problem?
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 144 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.09 centimeters with a standard deviation of .48 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 a = .05. d. What does the test result mean in the context of this problem?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text: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 144 bars is selected randomly and measured. It is
determined that the average length of the bars in the sample is 6.09 centimeters with a standard deviation of .48
centimeters.
a. Formulate the hypotheses to determine whether or not the lathe is in perfect adjustment.
b. Compute the test statistic.
Using the p-value approach, what is your conclusion? Let a = .05.
C.
d. What does the test result mean in the context of this problem?
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