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4. [-/3.2 Points] DETAILS ASWSBE14 11.E.019. You may need to use the appropriate technology to answer this question. The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The following tables contain a sample of data on the weights of bags (in pounds) filed by each machine. Machine 1 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12 Find the value of the test statistic. (Round your answer to two decimal places) MY NOTES antares 1 Machine 2 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.26 3.38 3.34 3.35 3.19 3.35 3.05 3.36 3.25 3.30 3.28 3.30 3.20 3.16 333 ASK YOUR TEACHER Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion? State the null and alternative hypotheses. PRACTICE ANOTHER
Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. Do not reject Ho We cannot conclude that the process variances are significantly different. O Reject Ho We cannot conclude that the process variances are significantly different. O Do not reject H. We can conclude that the process variances are significantly different Reject Ho. We can conclude that the process variances are significantly different Which machine, if either, provides the greater opportunity for quality improvements? Machine 1 offers the best opportunity for process quality improvements. Machine 2 offers the best opportunity for process quality improvements. O Neither machine offers an opportunity for process quality improvements. Need Help? Read it