Hypothesis Testing of Variance
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.
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