Chapter 6, Problem 11P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of the distribution located in the tail.

**a.** *X* = 72

**b.** X= 76

**c.** *X* = 66

**d.*** X* = 60

**a.**

To determine

**To find:** The proportion of the distribution located at the tail when

Explanation

**Given info:** Score follows normal distribution with mean 70 and standard deviation 8. X score is 72.

**Calculation:**

Let
*X* respectively. Then,

Let, *p* is the probability that score obtained is greater than 93 Then,

**b.**

To determine

**To Find:** The proportion of the distribution located at the tail when

**c.**

To determine

**To Find:** The proportion of the distribution located at the tail when

**d.**

To determine

**To Find:** The proportion of the distribution located at the tail when

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Understanding Basic Statistics

Finite Mathematics and Applied Calculus (MindTap Course List)

Multivariable Calculus

Elements Of Modern Algebra

Calculus: An Applied Approach (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Calculus of a Single Variable

Trigonometry (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics

Applied Calculus

Single Variable Calculus

Mathematical Excursions (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Elementary Geometry For College Students, 7e

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Single Variable Calculus: Early Transcendentals, Volume I

Intermediate Algebra

Precalculus: Mathematics for Calculus (Standalone Book)

Elementary Technical Mathematics

Contemporary Mathematics for Business & Consumers

Calculus: Early Transcendentals

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus: Early Transcendental Functions

Introduction To Statistics And Data Analysis

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Research Methods for the Behavioral Sciences (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

Multivariable Calculus

Calculus (MindTap Course List)

Mathematics For Machine Technology

College Algebra (MindTap Course List)