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{"ops":[{"insert":"Following is the data related to the daily production of the two factories of same product located in two different states.\n\u00a0\n  Factory \n Daily Production \n   Factory 1\n 66\n 66\n 73\n 83\n 74\n 73\n 73\n 69\n 82\n 71\n 73\n 66\n 67\n 80\n 79\n 78\n \u00a0\n \u00a0\n \u00a0\n \u00a0\n \u00a0\n   Factory 2\n 66\n 63\n 71\n 65\n 65\n 67\n 57\n 48\n 71\n 73\n 68\n 58\n 62\n 81\n 60\n 62\n 72\n 72\n 57\n 77\n 68\n  \u00a0\na.\u00a0\u00a0\u00a0\u00a0\u00a0Calculate the following\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[2]\n  \u00a0\n Daily Production of Factory 1\n Daily Production of Factory 1\n   Sample Size\n \u00a0\n \u00a0\n   Degree of freedom\n \u00a0\n \u00a0\n   Mean\n \u00a0\n \u00a0\n   Variance\n \u00a0\n \u00a0\n   Standard Deviation\n \u00a0\n \u00a0\n  \u00a0\nb.\u00a0\u00a0\u00a0\u00a0Calculate the ratio of two variances and test the equality of the variances and comments.[1]\nc.\u00a0\u00a0\u00a0\u00a0\u00a0Calculate the value of pool standard deviation (S"},{"attributes":{"script":"sub"},"insert":"p"},{"insert":"), degree of freedom in the light of part \u201cb\u201d and SED\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[1]\nd.\u00a0\u00a0\u00a0\u00a0Write the null and alternative hypothesis for comparing the production of two factories. [1]\ne.\u00a0\u00a0\u00a0\u00a0\u00a0Calculate the critical values \u201ct"},{"attributes":{"script":"sub"},"insert":"tab"},{"insert":"\u201d, and t"},{"attributes":{"script":"sub"},"insert":"cal"},{"insert":"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[1]\nWrite the conclusion for the null hypothesis of part \u201cd\u201d \u00a0\u00a0\u00a0\u00a0\n"}]}

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