   Chapter 6, Problem 13P 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

For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 10, find the proportion of the population corresponding to each of the following. a. Scores greater than 65. b. Scores less than 68. c. Scores between 50 and 70.

a.

To determine

To find: The proportion of the distribution located at the body when X>65.

Explanation

Given info:

The scores follow normal distribution with mean 60 and standard deviation 10 and X score is 65.

Calculation:

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

μ=60σ=10

Let, p is the probability that score obtained is greater than 89 then,

p=P(X>65)=1P(X<65)</

b.

To determine

To Find: The proportion of the distribution located at the body when X<68

c.

To determine

To Find: The proportion of the distribution located in between when 50 < X<70

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