The piston diameter of a certain hand pump is 0.8 inch. The manager determines that the diameters are normally distributed, with a mean of 0.8 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 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.10 level of significance?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The piston diameter of a certain hand pump is 0.8 inch. The manager determines that the diameters are normally distributed, with a mean of 0.8 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 0.0035 inch. Is there
significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.10 level of significance?
2%
due
What are the correct hypotheses for this test?
The null hypothesis is Ho
5%
The alternative hypothesis is H;:
Calculate the value of the test statistic.
ources
x = |(Round to three decimal places as needed.)
Lions
Use technology to determine the P-value for the test statistic.
tion Tool
The P-value is.
(Round to three decimal places as needed.)
What is the correct conclusion at the a = 0.10 level of significance?
sufficient evidence to conclude that the standard deviation has
V than the level of significance,
V the null hypothesis. There
Since the P-value is
decreased at the 0.10 level of significance.
Transcribed Image Text:The piston diameter of a certain hand pump is 0.8 inch. The manager determines that the diameters are normally distributed, with a mean of 0.8 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 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.10 level of significance? 2% due What are the correct hypotheses for this test? The null hypothesis is Ho 5% The alternative hypothesis is H;: Calculate the value of the test statistic. ources x = |(Round to three decimal places as needed.) Lions Use technology to determine the P-value for the test statistic. tion Tool The P-value is. (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.10 level of significance? sufficient evidence to conclude that the standard deviation has V than the level of significance, V the null hypothesis. There Since the P-value is decreased at the 0.10 level of significance.
Expert Solution
Step 1

Given that

Sample size n = 26

Sample SD = 0.0035

Level of significance = 0.10

Test is that whether the standard deviation has decreased.

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