BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 5, Problem 5.9P
Textbook Problem
301 views

For a math test on which the mean score was 59 and the standard deviation was 4, what is the probability that a student randomly selected from this class will have a score

a. between 55 and 65? __________

b. between 60 and 65? ________

c. above 65? _____________

d. between 60 and 50? ____________

e. between 55 and 50? ___________

f. below 55? ___________

Expert Solution
To determine

a)

To find:

The probability that the student selected will have a score between 55 and 65.

Explanation of Solution

Given:

The distribution of the scores is normal with a mean of 59 and standard deviation of 4.

Description:

The normal curve is symmetrical and its mean is equal to the median. The area below and above the mean is 50% or 0.05.

Formula used:

Let the data values be denoted by Xi.

The formula to calculate the Z score is given by,

Z=XiX¯s

Where, X¯ is the mean and s is the standard deviation of the distribution.

Calculation:

Given that the mean is 59 and standard deviation is 4.

For the score of 55,

Substitute 55 for Xi, 59 for X¯, and 4 for s in the above mentioned formula,

Z=55594=44=1

The area between mean and the score 1 is 0

Expert Solution
To determine

To find:

The probability that the student selected will have a score between 60 and 65.

Expert Solution
To determine

c)

To find:

The probability that the student selected will have a score above 65.

Expert Solution
To determine

d)

To find:

The probability that the student selected will have a score between 60 and 50.

Expert Solution
To determine

e)

To find:

The probability that the student selected will have a score between 55 and 50.

Expert Solution
To determine

To find:

The probability that the student selected will have a score below 55.

Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions
Solve the equations in Exercises 126. x4x+1xx1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 61. x2x12

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

Evaluate the definite integrals in Problems 1-32. 18.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluating a surface Integral In Exercise 5-8, evaluate S(x2y+z)dS S:z=152x+3y,0x2,0y4,

Calculus: Early Transcendental Functions (MindTap Course List)

The nth term in the Taylor series centered at 1 for f(x) = x2 is: a) (1)n + 1(n + 1)!(x 1)n b) (1)nn!(x 1)n c...

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

True or False:

Study Guide for Stewart's Multivariable Calculus, 8th

Explain how inter-rater reliability is established.

Research Methods for the Behavioral Sciences (MindTap Course List)

Self Check If fx=2x+7 and hx=x+1, find fhx.

College Algebra (MindTap Course List)

4. A process sampled 20 times with a sample of size 8 resulted in = 28.5 and = 1.6. Compute the upper and low...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In Problems 35-64 solve the given differential equation by undetermined coefficients. 46. y + 6y + 8y = 3e2x + ...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

A Function Given by a GraphThe following is the graph of a function f=f(x). Exercises S-1 through S-14 refer to...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)