The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are normally distributed, with a mean of 0.5 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0043 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α=0.05 level of��� significance? What are the correct hypotheses for this test? The null hypothesis is H0: The alternative hypothesis is H1: Calculate the value of the test statistic. X^2= ___ (Round to three decimal places as needed) What is the correct conclusion at the α=0.05 level of significance? Since the p-value is ___ (greater/less than) than the level of significance. ____ (do not reject/reject) the null hypothesis. There___ (is/is not) sufficient evidence to conclude that the standard deviation has decreased at the 0.05 level of significance.
The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are
What are the correct hypotheses for this test?
The null hypothesis is H0:
The alternative hypothesis is H1:
Calculate the value of the test statistic.
X^2= ___ (Round to three decimal places as needed)
What is the correct conclusion at the α=0.05 level of significance?
Since the p-value is ___ (greater/less than) than the level of significance. ____ (do not reject/reject) the null hypothesis. There___ (is/is not) sufficient evidence to conclude that the standard deviation has decreased at the 0.05 level of significance.
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