   Chapter 6, Problem 12P Essentials of Statistics for the B...

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

Solutions

Chapter
Section Essentials of Statistics for the B...

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

A normal distribution has a mean of μ = 30 and a standard deviation of σ = 12. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion of the distribution located in the body.a. X = 32b. X = 18c. X = 24d. X = 39

a.

To determine

To find: The proportion of the distribution located at the tail when X=33.

Explanation

Score follows normal distribution with mean 30 and standard deviation 12 and X score is 33.

Calculation:

Let μ and σ be the mean and standard deviation of score X respectively. Then,

μ=30σ=12

Let, p is the probability that score obtained is greater than 33 Then,

p=P(X>33)=1P(X<33)

The for

b.

To determine

To find: The proportion of the distribution located at the tail when X=18.

c.

To determine

To find: The proportion of the distribution located at the tail when X=24.

d.

To determine

To Find: The proportion of the distribution located at the tail when X=39

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