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(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 t
Apply the Central Limit Theorem for Sample Means Let represent the full height of a certain species of tree. Assume that has a normal probability distribution with mean and standard deviation . You intend to obtain a random sample of 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.


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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




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