Assignment:
The data in file XR11100 are the weights (in grams) for random samples of grain packages filled by two different filling machines. The machines have a fine adjustment for the mean amount of fill, but the standard deviations are inherent in the design of the grain delivery mechanism. Based on these data, and using the 0.01 level of significance, is there reason to conclude that the population standard deviations might not be equal for the quantities being delivered from the two machines? Identify and interpret the p-value for the test.
Provide complete and step by step solution for the question and show calculations and use formulas.