The MBA program at Dover College has an enrollment of 160 students with an average age of 34.7 years old and a standard deviation 5.2 years. A random sample of 40 MBA students was selected. What is the probability that the average age of the sample is less than 34 years old?

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The MBA program at Dover College has an enrollment of 160 students with an average age of 34.7 years old and a standard deviation 5.2 years. A random sample of 40 MBA students was selected. What is the probability that the average age of the sample is less than 34 years old? 

Expert Solution
Step 1: Determine the given variables.

The question is about central limit theorem.

Given :

Population mean age of students ( mu ) = 34.7

Population standard deviation of age of students ( sigma ) = 5.2

Randomly selected no. of students ( n ) = 40


To find :

Probability that the average age is less than 34 years old.

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