Discuss the below:
Q: 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.