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The piston diameter of a certain hand pump is 0.53 inch. The manager determines that the diameters are normally? distributed, with a mean of 0.53 inch and a standard deviation of 0.004 inch. After recalibrating the production? machine, the manager randomly selects 28 pistons and determines that the standard deviation is 0.0032 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α=0.10 level of? significance?
Are the requirements met to perform this? test?
Because the sample (is, is not) obtained using simple random sampling and the population (is, is not) normally? distributed, the requirements for testing the hypothesis (are, are not) satisfied.
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