Chapter 7, Problem 18P

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

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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