Chapter 7, Problem 18P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

The distribution ages for students at the state college is positively skewed with a mean of μ = 21.5 and a standard deviation of σ = 3.

**a.**What is the probability of selecting a random sample of*n*= 4 students with an average age greater than 23? (Careful: This is a trick question.)**b.**What is the probability of selecting a random sample of*n*= 36 students with an average age greater than 23?**c.**For a sample of*n*= 36 students, what is the probability that the average age is between 21 and 22?

**a.**

To determine

The probability of selecting a random sample of
n = 4 students with an average age greater than 23.

Explanation

**Given info:**

The distribution of ages for students at the state college is positively skewed. The mean and the standard deviation is 21.5 and 3, respectively...

**b.**

To determine

The probability of selecting a random sample of
n = 36 students with an average age greater than 23.

**c.**

To determine

The probability of selecting a random sample of
n = 36 students with an average age in between 21 and 22.

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