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The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.005 inch. After recalibrating the produc randomly selects 23 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho The alternative hypothesis is H₁ Calculate the value of the test statistic x=(Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic The P-value is (Round to three decimal places as needed) What is the correct conclusion at the a=0.01 level of significance? than the level of significance, Since the P-value is Y M Y Y ▼ M the null hypothesis. There CIED machime, the sufficient evidence to conclude that the standard deviation has decreased at the 0.01 level of significance.

The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.005 inch. After recalibrating the produc randomly selects 23 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho The alternative hypothesis is H₁ Calculate the value of the test statistic x=(Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic The P-value is (Round to three decimal places as needed) What is the correct conclusion at the a=0.01 level of significance? than the level of significance, Since the P-value is Y M Y Y ▼ M the null hypothesis. There CIED machime, the sufficient evidence to conclude that the standard deviation has decreased at the 0.01 level of significance.

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 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho The alternative hypothesis is H₁ Calculate the value of the test statistic. xo (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a=0.01 level of significance? than the level of significance, Since the P-value is the null hypothesis. There sufficient evidence to conclude that the standard deviation has decreased at the 0.01 level of significance.
Transcribed Image Text:The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho The alternative hypothesis is H₁ Calculate the value of the test statistic. xo (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a=0.01 level of significance? than the level of significance, Since the P-value is the null hypothesis. There sufficient evidence to conclude that the standard deviation has decreased at the 0.01 level of significance.
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