|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||1.1||gm,|
|while a sample of||45||eggs from supplier B had a standard deviation of||0.75||gm in weight.|
|(a)||Construct a||98%||confidence interval for the standard deviation of the weight of eggs provided by supplier A.|
|(b)||At a||5%||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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