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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

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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 reduc Machine 1 Machine 2 2.95 3.45 3.50 3.7 3.48 3.26 3,33 3.20 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.26 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3,37 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.30 3.28 3.30 3.20 3.16 3.33 3.12 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 conclusi State the null and alternative hypotheses. 5 2> 02 Ho $2 202 OH: 1 2 # 02 , O :072 202 Ha 1 2 2=02, Ho *2 + 02 H: 01 Ho: 1 2 2502, H.: 01 Find the value of the test statistic. (Round your answer to two decimal places.) 8.42 Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho. We can 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 Ho. We cannot conclude that the process variances are significantly different. O Reject Ho. We can conclude that the process variances are significantly different. Which machine, if either, provides the greater opportunity for quality improvements? O Machine 1 offers the best opportunity for process quality improvements. O Machine 2 offers the best opportunity for process quality improvements. Neither machine offers an opportunity for process quality improvements

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