The piston diameter of a certain hand pump is 0.3 inch. the manager determines that the diameters are normally distributed, with a mean of 0.3 inch and a standard deviation of 0.004 inch. after recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0029 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? what are the correct hypotheses for this test? the null hypothesis is h0: sigma equals 0.004. the alternative hypothesis is h1: sigma less than 0.004. calculate the value of the test statistic. chi subscript superscript 2equals nothing (round to three decimal places as needed.)