Chapter 5, Problem 21P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A distribution of exam scores has a mean of μ = 78.

**a.**If your score is*X =*70, which standard deviation would give you a better grade: σ = 4 or σ = 8?**b.**If your score is*X =*80, which standard deviation would give you a better grade: σ = 4 or σ = 8?

**a.**

To determine

**To identify:** Which standard deviation would give you a better grade

Explanation

**Given info:**

The data represents the mean, standard deviation and x-score of the distribution. The exam score mean is

**Calculation:**

The general formula for z score is,

**Case 1:**

*z-*score corresponding *to*

Substitute the value 70 for *X*, 78 for

Thus, the value of *z*-score is 2.

**Case 2:**

*z-*score corresponding *to*

**b.**

To determine

**To identify:** Which standard deviation would give you a better grade

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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