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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 mana randomly selects 21 pistons and determines that the standard deviation is 0.0048 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: o 0.007 The alternative hypothesis is H,: < 0.007. Calculate the value of the test statistic. y2 =O (Round to three decimal places as needed.)

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 mana randomly selects 21 pistons and determines that the standard deviation is 0.0048 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: o 0.007 The alternative hypothesis is H,: < 0.007. Calculate the value of the test statistic. y2 =O (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 0.4 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 21 pistons and determines that the standard deviation is 0.0048 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 H,: 0.007. The alternative hypothesis is H,: 0.007. Calculate the value of the test statistic. x2 = (Round to three decimal places as needed.)
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 21 pistons and determines that the standard deviation is 0.0048 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 H,: 0.007. The alternative hypothesis is H,: 0.007. Calculate the value of the test statistic. x2 = (Round to three decimal places as needed.)
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