The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the...
The piston diameter of a certain hand pump is
0.6
inch. The manager determines that the diameters are normally distributed, with a standard deviation of
0.009
inch. After recalibrating the production machine, the manager randomly selects
20
pistons and determines that the standard deviation is
0.0075
inch. Is there sufficient evidence for the manager to conclude that the standard deviation has decreased at the
α=0.05
level of significance?
Homework Answers
Claim: The manager to conclude that the standard deviation has decreased.
Sample size = n = 20
Sample standard deviation = s = 0.0075
The null and alternative hypothesis is
Level of significance = α = 0.05
Test statistic is
Degrees of freedom = n - 1 = 20 - 1 = 19
P-value = P( 
) = 0.8285
P-value > 0.05 we fail to reject null hypothesis.
Conclusion: There is not sufficient evidence for the manager to conclude that the standard deviation has decreased.
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The piston diameter of a certain hand pump is
0.6
inch. The manager determines that the...
The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the...
The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally distributed, with a mean of 0.6 inch and a standard deviation of 0.004 inch. After recalibrating the production machine, the manager randomly selects 27 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 alpha equals 0.05 level of significance?
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