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Test 4 Question 7
Test 4
7.
The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally distributed, with a mean of 0.6 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0051 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the á=0.01 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.
Use technology to determine the P-value for the test statistic.
The P-value is
What is the correct conclusion at the
á=0.01
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 0.01 level of significance.