MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 0.005 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and
determines that the standard deviation is 0.0037 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: V
▼
The alternative hypothesis is H₁:
▼
Calculate the value of the test statistic.
x² = (Round to three 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 α = 0.10 level of significance?
Since the P-value is
than the level of significance,
the null hypothesis. There
sufficient evidence to conclude that the standard deviation has decreased at the 0.10 level of significance.
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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 0.005 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0037 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: V ▼ The alternative hypothesis is H₁: ▼ Calculate the value of the test statistic. x² = (Round to three 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 α = 0.10 level of significance? Since the P-value is than the level of significance, the null hypothesis. There sufficient evidence to conclude that the standard deviation has decreased at the 0.10 level of significance.
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