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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

  1. 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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