# 0 The variance in a production process is an important

Last updated: 1/29/2024

0 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 Finish up 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 welg of bags in pounds filled by each machine Machine 1 2 95 3 45 3 50 3 75 3 48 3 26 3 33 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 O O 3 12 O 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 Ho 0 0 H 0 0 2 02 2 Ho 01 02 H 0 50 2 Ho 0 0 Ha 01 0 2 Ho 0 0 3 20 Ha 0 0 02 Find the value of the test statistic Round your answer to two decimal places Find the p value Round your answer to four decimal places p value Machine 2 3 22 3 30 3 34 3 28 3 29 3 25 3 30 3 39 3 34 3 35 3 19 3 35 3 05 3 36 3 28 3 30 3 28 3 30 3 20 3 16 3 33 3 26 State your conclusion O Do not reject Ho We cannot conclude that the process variances are significantly different O Do not reject Ho We can conclude that the process variances are significantly different Refect Hor We cannot conclude that the process variances are significantly different