According to the National Association of Homebuilders, the average life expectancies of a dishwasher and a microwave

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According to the National Association of Homebuilders, the average life expectancies of a dishwasher and a microwave oven are about the same: 9 years. Assume that their finding was based on a sample of n1 = 60 dishwashers and n2 = 40 microwave ovens, and that the corresponding sample standard deviations were s1 = 3.0 years and s2 = 3.7 years. Using the 0.02 level of significance, examine whether the population standard deviations for the lifetimes of these two types of appliances could be the same.
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