Question: 49 You form a 95% confidence interval in five different situations. a) Assuming that the results of the intervals are statistically independent. find the proba-

49 You form a 95% confidence interval in five different situations.

a) Assuming that the results of the intervals are statistically independent. find the proba- bility that all five intervals contain the parameters they are designed to estimate. Find the probability that at least one interval is in error. (Hint Use the binomial distribution)

b) What confidence coefficient should you use for each interval so that the probability that all five intervals contain the parameters equals exactly .95? Compare this to the con- fidence cocfficient for each interval used in the Bonferroni method.

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