The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally distributed, with a mean of 0.6 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 27 pistons and determines that the standard deviation is 0.0062 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.01 level of significance?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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B.Calculate the value of the test statistic.

χ2=____
 
 
C. Use technology to determine the​ P-value for the test statistic.
 
The​ P-value is____
 
 
D. What is the correct conclusion at the α=0.05 level of​ significance?
 
Since the​ P-value is (greater/less) than the level of​ significance, (reject/do not reject) the null hypothesis. There (is/is not) sufficient evidence to conclude that the standard deviation has decreased at the 0.05 level of significance.
The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally distributed, with a mean of 0.6 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the
manager randomly selects 27 pistons and determines that the standard deviation is 0.0062 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.01 level of significance?
Transcribed Image Text:The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally distributed, with a mean of 0.6 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 27 pistons and determines that the standard deviation is 0.0062 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.01 level of significance?
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