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?

Answer:There is a 99% probability that at least one of the intervals will cover the true mean yields at their locationStep-by-step explanation:In a 90% confidence interval of the mean of a population, there is a 90% probability that it cover the true mean of the population.What is the probability that at least one of the intervals will cover the true mean yields at their location?This is 1 subtracted by the probability that none of them cover the true mean yields at their location.For each one, there is a 10% probability that it does not cover the mean. So the probability that both do not cover the mean is [tex]0.1*0.1 = 0.01[/tex]The probability that at least one of the intervals will cover the true mean yields at their location is 1-0.01 = 0.99 = 99%.