A small diner gets its eggs from two different suppliers.  Uniformity of the weight of the eggs is an important quality parameter on which the suppliers are judged.  A sample of 35 eggs from supplier A had a standard deviation in weight of 1.2 gm, while a sample of 45 eggs from supplier B had a standard deviation of 0.85 gm in weight.   Construct a 98% confidence interval for the standard deviation of the weight of eggs provided by supplier A. At a 2% significance, conduct the appropriate hypothesis test to determine if there is any difference in the standard deviation of weight of eggs provided by the two suppliers.

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A small diner gets its eggs from two different suppliers.  Uniformity of the weight of the eggs is an important quality parameter on which the suppliers are judged.  A sample of 35 eggs from supplier A had a standard deviation in weight of 1.2 gm, while a sample of 45 eggs from supplier B had a standard deviation of 0.85 gm in weight.

 

  1. Construct a 98% confidence interval for the standard deviation of the weight of eggs provided by supplier A.
  2. At a 2% significance, conduct the appropriate hypothesis test to determine if there is any difference in the standard deviation of weight of eggs provided by the two suppliers.
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