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The amount of surface wax on each side of waxed paper bags
Chapter , Problem 51(choose chapter or problem)
The amount of surface wax on each side of waxed paper bags is believed to be normally distributed. However, there is reason to believe that there is greater variation in the amount on the inner side of the paper than on the outside. A sample of 75 observations of the amount of wax on each side of these bags is obtained and the following data recorded. Wax in Pounds per Unit Area of Sample Outside Surface Inside Surface x = .948 y = .652 _x2 i = 91 _y2 i = 82 Conduct a test to determine whether or not the variability of the amount of wax on the inner surface is greater than the variability of the amount on the outer surface ( = .05).
Questions & Answers
QUESTION:
The amount of surface wax on each side of waxed paper bags is believed to be normally distributed. However, there is reason to believe that there is greater variation in the amount on the inner side of the paper than on the outside. A sample of 75 observations of the amount of wax on each side of these bags is obtained and the following data recorded. Wax in Pounds per Unit Area of Sample Outside Surface Inside Surface x = .948 y = .652 _x2 i = 91 _y2 i = 82 Conduct a test to determine whether or not the variability of the amount of wax on the inner surface is greater than the variability of the amount on the outer surface ( = .05).
ANSWER:Step 1 of 6
Observe that the sample variance can be calculated as
Step 2 of 6
We are given that the first sample (amount of wax on the outside) has size 
Step 3 of 6
Similarly, the second sample (amount of wax on the inside) has size