   Chapter 6, Problem 11P Statistics for The Behavioral Scie...

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

Solutions

Chapter
Section Statistics for The Behavioral Scie...

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

Find the z-score boundaries that separate a normal distribution as described in each of the following. The middle 30% from the 70% in the tails.The middle 40% from the 60% in the tails.The middle 50% from the 50% in the tails.d. The middle 60% from the 40% in the tails.

To determine

The z-score location of a vertical line that separates a Normal distribution.

Explanation

Given:

Find the z score as described in each of the following

1. The middle 30% from the 70% in the tails.
2. The middle 40% from the 60% in the tails.
3. The middle 50% from the 50% in the tails.
4. The middle 60% from the 40% in the tails

Formula Used:

Z = z score (It is the measure of how many standard deviations below or above the population mean)

P (a≤X≤b) = φ( bμ σ )φ( aμ σ ) , where X~ N ( μ, σ 2 )

Φ(z) is the distribution func

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