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Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

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Chapter
Section
BuyFindarrow_forward

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

13. A normal distribution has a mean .of µ=30 and a standard deviation of σ = 12 .For each ,of the following core indicate whether the body is to the right or left of the core and find the proportion of the distribution located in the body.

a. X= 33

b. X= l 8

c. x= 24

d. X= 39

To determine

For the given scores, indicate whether the body is to the right or left of the score and also find the proportions of the distribution located in the body.

Explanation

Calculation:

    Z= xμ σ
  1. Z= 3330 12 = 3 12 = 1 4 =0.25
  2. Z= 1830 12 =( 12 12 )=( 1 )
  3. Z= 2430 12 =( 1 2 )=( 0.5 )
  4. Z= 3930 12 = 9 12 =0.75

Proportion calculation

  1. For X= 33
  2. P(Zz)=P(Z0.25)=0.5P(0Z0.25)=0.50.0987=0

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