Question

4B. Company C claims that their process is more consistent than Company D. Data from the two companies is collected and stored in the Assignment 3A Minitab Worksheet. Test the claim at the .05 level, not assuming normal. Ho: Test Statistic: Ha: p-value to 5 decimal places: Conclusion: Fail to Reject Ho Reject Ho Conclusion in words:

Answer 1

(1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho:oỉ = ož Ha: g < oſ This corresponds to a left-tailed test, for which a F-test for two population variances needs to be used. (2) Rejection Region Based on the information provided, the significance level is a = 0.05, and the the rejection region for this left-tailed test is R = {F:F<FL = 0.403} (3) Test Statistics The F-statistic is computed as follows: F= 0.004264 0.011598 0.368 S. (4) Decision about the null hypothesis Since from the sample information we get that F = 0.368 < FL = 0.403, it is then concluded that the null hypothesis is rejected. (5) Conclusion It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population variance oị is less than the population variance oż, at the a = 0.05 significance level. Confidence Interval The 95% confidence interval for ej i is: 0.123 ܝܦܛ.. < 1.095.

P value = 0.96419

The claim of company C is true.

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