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Suppose the average lifetime of a certain type of car battery is known to be 60...

Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months.

a) If the true average lifetime is 62 months and a =0.01, what is the probability of a type II error?

b) What is the required sample size to satisfy and the type II error probability of b(62) = 0.1?

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