The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0063 inch. Is there significant evidence for the manager conclude that the standard deviation has decreased at the a = 0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho o = 0.007. < 0.007. The alternative hypothesis is H: o Calculate the value of the test statistic. x- (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager
randomly selects 26 pistons and determines that the standard deviation is 0.0063 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.10 level of significance?
What are the correct hypotheses for this test?
The null hypothesis is Ho: a - 0.007.
The alternative hypothesis is H,: o < 0.007.
Calculate the value of the test statistic.
x = (Round to three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer,
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2 remaining
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Transcribed Image Text:The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0063 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: a - 0.007. The alternative hypothesis is H,: o < 0.007. Calculate the value of the test statistic. x = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer, parts 2 remaining Clear All Check Answer MacBook Pro esc F5 F6 FB 19 FI F2 F3 F4 23 2$ & 3 5 7 8. 9. delete Q W R Y tab 1. enter D F G K L S tehun caps lock C V B. shift alt alt option MOSISO command くO H
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