(Solved): Apply the Central Limit Theorem for Sample Means Let X represent the full height of a certain speci ...
Apply the Central Limit Theorem for Sample Means Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 159ft and standard deviation 23ft. You intend to obtain a random sample of n=40 trees and compute the sample mean. The bell curve below represents the distibution of simitiarly obtained sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.
Here the mean is The standard deviation is The sample size is Here the sample size is greater than 30, so we can use the central limit theorem Then the standard error is