A jar manufacturer is very concerned about the consistency of the machines that produce jars and believes that the jars produced by machine A have a different variance in diameter than the variance in diameter from machine B. The sample variance of a sample of 16 jars from machine A is 0.0412. The sample variance of a sample of 13jars from machine B is 0.0321. Test the claim using a 0.05 level of significance. Let σ21 represent the population variance for machine A.
Step 1 of 5: State the null and alternative hypotheses for the test.
Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.
Step 3 of 5: Compute the value of the test statistic. Round your answer to four decimal places.
Step 4 of 5: Make a decision.
Step 5 of 5: State the test's conclusion. Does the evidence support the claim?