Introductory Statistics
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 7, Problem 7.1TI

An unknown distribution has a mean of 45 and a standard deviation of eight. Samples of size n = 30 are drawn randomly from the population. Find the probability that the sample mean is between 42 and 50.

Expert Solution & Answer
Check Mark
To determine

To calculate:

The probability that the sample mean is between 42 and 50.

Answer to Problem 7.1TI

P(42<X¯<50)=0.9797.

Explanation of Solution

Given information:

Mean = 45

Standard deviation = 8

n=30

Formula used:

X¯N(μx,σxn)

Calculation:

X¯N(45,8 30)P(42<X¯<50)=normalcdf(42,50,45,8 30)P(42<X¯<50)=0.9797.

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Chapter 7 Solutions

Introductory Statistics

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