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In: Statistics and Probability

The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the...

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 21 pistons and determines that the standard deviation is 0.0044 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 hypothesis is H0:_,_,__
The alternative hypothesis is H1: _,_,__
Calculate the value of the test statistic.

X2/0= _ (Round two decimal)
Use technology to determine the P-value of the test statistic.
The P-value is_. (Round three decimal places)
What is the correct conclusion at the a=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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