Consider the next 1000 80% CIs for µ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of µ? intervals What is the probability that between 790 and 810 of these intervals contain the corresponding value of µ?

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Consider the next 1000 80% CIs for µ that a statistical consultant will obtain for various clients. Suppose the data sets on which the
intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the
corresponding value of µ?
intervals
What is the probability that between 790 and 810 of these intervals contain the corresponding value of µ? [Hint: Let Y = the number
among the 1000 intervals that contain µ. What kind of random variable is Y?] (Use the normal approximation to the binomial distribution.
Round your answer to four decimal places.)

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