Researchers are studying the yield of a crop in two locations.The researchers are going to compute independent 90% confidence intervals for the mean yield at each location.What is the probability that at least one of the intervals will cover the true mean yields at their location?

A) 0.81
B) 0.19
C) 0.99
D) 0.95

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Michelle Livingston · Accepted Answer

Final Answer : C, Explanation :  The probability that one interval misses the true mean yield is 10% (since we are constructing a 90% confidence interval). Therefore, the probability that both intervals miss the true mean yield is 10% * 10% = 1%.So the probability that at least one of the intervals covers the true mean yield is 1 - 1% = 99%. Thus, the best choice is C.

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