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 0.003 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0026 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 H₂: = 0.003. The alternative hypothesis is H₁: Calculate the value of the test statistic. X = (Round to two decimal places as needed.) O 0.003. …

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 0.003 inch. After recalibrating the production machine,
the manager randomly selects 25 pistons and determines that the standard deviation is 0.0026 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 H₂:
= 0.003.
The alternative hypothesis is H₁:
Calculate the value of the test statistic.
6
n example
X = (Round to two decimal places as needed.)
D
0.003.
Get more help -
#
Clear all
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 0.003 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0026 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 H₂: = 0.003. The alternative hypothesis is H₁: Calculate the value of the test statistic. 6 n example X = (Round to two decimal places as needed.) D 0.003. Get more help - # Clear all
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