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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

Scores on the Mathematics section of the SAT Reasoning Test form a normal distribution with a mean of μ = 500 and a standard deviation of σ = 100.

  1. a. If the state college only accepts students who score in the lop 60% on this test, what is the minimum score needed for admission?
  2. b. What is the minimum score necessary to be in the lop 10% of the distribution?
  3. c. What scores form the boundaries for the middle 50% of the distribution?

(a)

To determine

To find: What is the minimum score needed for admission.

Explanation

Calculation:

The formula for z score is,

z=Xμσ

Substitute the value 500 for μ and 100 for σ.

P(X>x)=0.601P(Xx)=0.60P(Xx)=0.40P(Xμσ<x500100)=0

(b)

To determine

To find: The minimum score needed for admission.

(c)

To determine

To find: The scores from the boundaries for the middle 50% of the distribution.

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