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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

The distribution of SAT scores in normal with μ = 500 and σ = 100.

  1. a. What SAT score, X value, separates the top 15 % of the distribution from the rest?
  2. b. What SAT score, X value, separates the top 10 % of the distribution from the rest?
  3. c. What SAT score, X value, separates the top 2 % of the distribution from the rest?

(a)

To determine

To find: The SAT score, X value separate the top 15% from the rest.

Explanation

Given info:

The X value separates top 15% from the rest.

Calculation:

Use the excel formula (=NORMSINV(probability)) to find the X value separate the top 15% from the rest is as follows:

P(Z>z)=0.151P(Zz)=0.15P(Zz)=10

(b)

To determine

To find: The SAT score, X value separate the top 10% of the distribution from the rest.

(c)

To determine

To find: The SAT score, X value separate the top 2% of the distribution from the rest.

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