5. Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a canning factory. Operations managers suspect that, although the mean amount filled per can of food is usually stable, the variability of the cans filled in line A is greater than that of line B. The following data from a sample of 8-ounce cans is as follows:
Line A Line B
Sample Mean 8.005 7.997
Sample Standard Deviation 0.012 0.005
Sample size 11 16
At the 0.05 level of significance, is there evidence that the variance in line A is greater than the variance in line B? Assume that the population amounts filled are normally distributed.
The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.