Hypothesis Testing: Comparison of
Standard deviations
11.70. According to the National
Association of Homebuilders, the average life expectancies of a dishwasher and
a garbage disposal are about the same: 10 years. Assume that their finding was
based on a sample of n1 = 60 dishwashers and n2 = 40 garbage disposals, and that
the corresponding sample standard deviations were s1 = 30 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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