Chapter 5, Problem 6P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

For a population with a mean of μ = 100 and a standard deviation of σ = 20,

**a.** Find the *z-*score for each of the following *X* values.

*X*** =** 108

*X =* 115

*X* = 130

*X = 90*

*X =* 88

*X*** =** 95

**b.** Find the score *(X* value) that corresponds to each of the following c-scores.

*z=–* 0.40

*z*= –0.50

*z=* 1.80

*z =* 0.75

*z*** =** 1-50

*z =*

**(a)**

To determine

**To find:** The *z*-score corresponding to *X*.

Explanation

**Given info:**

The population has mean

**Calculation:**

The *z*-score is used to transform any distribution in to standardized distribution with a predetermined mean and a predetermined standard deviation.

The formula for calculating *z*-score is,

Substitute

The *z*-score corresponding to

The *z*-score corresponding to

The *z*-score corresponding to

**(b)**

To determine

**To Find:** The *X* value corresponding to z-scores.

Sect-5.2 P-1LCSect-5.2 P-2LCSect-5.2 P-3LCSect-5.2 P-4LCSect-5.2 P-1LCASect-5.2 P-2LCASect-5.2 P-3LCASect-5.2 P-4LCASect-5.3 P-1LCSect-5.3 P-2LC

Sect-5.3 P-3LCSect-5.3 P-4LCSect-5.4 P-1LCSect-5.4 P-2LCSect-5.6 P-1LCSect-5.6 P-2LCSect-5.6 P-3LCSect-5.6 P-4LCSect-5.6 P-5LCCh-5 P-1PCh-5 P-2PCh-5 P-3PCh-5 P-4PCh-5 P-5PCh-5 P-6PCh-5 P-7PCh-5 P-8PCh-5 P-9PCh-5 P-10PCh-5 P-11PCh-5 P-12PCh-5 P-13PCh-5 P-14PCh-5 P-15PCh-5 P-16PCh-5 P-17PCh-5 P-18PCh-5 P-19PCh-5 P-20PCh-5 P-21PCh-5 P-22PCh-5 P-23PCh-5 P-24PCh-5 P-25PCh-5 P-26P

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