Question

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 6 jars from machine A is 0.0264. The sample variance of a sample of 5 jars from machine B is 0.0325. Test the claim using a 0.1 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?

Answer 1

Step 1: Hou o = 0 2 (claim) (two-tiled East, Hai opet Machine - A D. ni=b Si = 0.0264 machine B = 0.0325 h2=5 Step 2: level of significance df=(2,-1), 1n2-1)=(5,4). cf. Statistics The with cal values are a -0.1926 ,6.2561) Step 3: The test statistic fash 0.0264 0.0325 0.8123 - 52 Stepy becision a fail to reject the hell hypothesis Steps: Conclusion: There is no significant evidence to support the claim that machine A have a difference Variance that of from machine B.