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Essentials of Statistics for the B...

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

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Chapter
Section
BuyFindarrow_forward

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 = 32

b. X = 18

c. X = 24

d. 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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