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Mathematics, 24.12.2019 22:31 jaylynC
Dead battery? a car company has found that the lifetime of its batteries varies from car to car according to a normal distribution with mean μ = 48 months and standard deviation σ = 8.2 months. the company installs a new brand of battery on an srs of 8 cars.
(a) if the new brand has the same lifetime distribution as the previous type of battery, describe the sampling distribution of the mean lifetime .
(b) the average life of the batteries on these 8 cars turns out to be = 42.2 months. find the probability that the sample mean lifetime is 42.2 months or less if the lifetime distribution is unchanged. what conclusion would you draw?
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