Following is the data related to the daily production of the two factories of same product located in two different states.
Factory Daily Production
Factory 1 66 66 73 83 74 73 73 69 82 71 73 66 67 80 79 78
Factory 2 66 63 71 65 65 67 57 48 71 73 68 58 62 81 60 62 72 72 57 77 68
a. Calculate the following [2]
Daily Production of Factory 1 Daily Production of Factory 1
Sample Size
Degree of freedom
Mean
Variance
Standard Deviation
b. Calculate the ratio of two variances and test the equality of the variances and comments.[1]
c. Calculate the value of pool standard deviation (Sp), degree of freedom in the light of part “b” and SED [1]
d. Write the null and alternative hypothesis for comparing the production of two factories. [1]
e. Calculate the critical values “ttab”, and tcal [1]
f. Write the conclusion for the null hypothesis of part “d” [1]
