The piston diameter of a certain hand pump is 0.7 inch. Themanager determines that the diameters are
Question:
The piston diameter of a certain hand pump is 0.7 inch. Themanager 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 randomlyselects 28 pistons and determines that the standard deviation is0.0044 inch. Is there significant evidence for the manager toconclude that the standard deviation has decreased at the a=0.05level of significance?
What are the correct hypotheses for this test?
The null hypothesis is H0: p OR o OR u ---- less than OR doesnot equal OR equals OR greater than ---- 0.005 OR 0.0044
The alternative hypthosis is H1: (Choose one of the abovechoices)
Calculate the value of the test statistic.
Xsquared = (Round to three decimal places as needed).
The P-value is (Round to three decimal places as needed).
What is the correct conclusion at the a=0.05 level ofsignificance?
Since the P-value is less OR greater than the level ofsignificance, reject OR do not reject the null hypothesis. There isOR is not sufficient evidence to conclude that the standarddeviation has decreased at the 0.05 level of significance.
Statistics Informed Decisions Using Data
ISBN: 9780134133539
5th Edition
Authors: Michael Sullivan III