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as we prepare to take a sample and compute a 95% confidence interval, we know that the probability that the interval we compute will cover the true parameter value is 0.95. if we use several such intervals, however, our confidence that all give correct results is less than 95%. In an agricultural field trial a corn variety is planted in seven separate locations, which may have different mean yields due to the differences in soil and climate. At the end of the experiment, seven independent 95% confidence intervals will be calculated, one for mean yield at each location. a) What is the probability that every one of the seven intervals covers the true mean yield at its location? This probability (expressed as a percent) is our overall confidence level for the seven simultaneous statements. b) What is the probability that at least six of the seven intervals cover the true mean yields?
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