The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are normally distributed, with a mean of 0.5 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0034 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.05 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: V The alternative hypothesis is H,:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are normally distributed, with a mean of 0.5 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager
randomly selects 29 pistons and determines that the standard deviation is 0.0034 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.05 level of significance?
What are the correct hypotheses for this test?
The null hypothesis is Ho
The alternative hypothesis is H,
Transcribed Image Text:The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are normally distributed, with a mean of 0.5 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0034 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.05 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho The alternative hypothesis is H,
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