The piston diameter of a certain hand pump is 0.4 inch The manager determines that the diameters are normally distributed, with mean of 0.4 inch and a standard deviation of 0.005 inch After recalibrating the production machine, the manager randomly selects 28 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 a=0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho Y Y ▼ The alternative hypothesis is H₁ ▼ ▼ ▼ Calculate the value of the test statistic x² = (Round to three decimal places as needed) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed) 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 less greater

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