First part of this theorem allows a problem solver

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To find the probability using central limit theorem

Central Limit Theorem.

The Central Limit Theorem (CLT) is one of the most useful in probability and statistics. One part of this theorem allows a problem solver to calculate probabilities about sample means regardless of whether a population is normally distributed. However, the formula for z has to be adapted as follows:

z = [(sample mean - population mean) times the square root of sample size] divided by the population standard deviation.
Apply the CLT to the following problem.

The average age of the accountants at XYZ Corporation is 35 years with a standard deviation of 3.8 years. If a sample of 36 accountants is selected at random, what is the probability that their mean age is between 34 and 36 years?

Show your work, and express your answer to the nearest 100th of a percent.

Reference no: EM1317589

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