 # After taking the state merit examinations for the position of school counselor and social worker, you receive the following information on the tests and on your performance. On which test did you do better? School Counselor Social Worker X ¯ = 118 X ¯ = 27 s = 17 s = 3 Your score = 127 Your score = 29 ### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836 ### Essentials Of Statistics

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

#### Solutions

Chapter
Section
Chapter 5, Problem 5.14P
Textbook Problem
861 views

## After taking the state merit examinations for the position of school counselor and social worker, you receive the following information on the tests and on your performance. On which test did you do better? School Counselor Social Worker X ¯ = 118 X ¯ = 27 s = 17 s = 3 Your score = 127 Your score = 29

Expert Solution
To determine

To find:

The test with better performance.

### Explanation of Solution

Given:

The following table gives the information of the tests in the state merit examinations for the position of school counselor and social worker.

 School Counselor Social Worker X¯=118 X¯=27 s=17 s=3 Your score=127 Your score=29

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:

For the score of 127 for school counselor position,

Given that the mean is 118 and standard deviation is 17.

Substitute 127 for Xi, 118 for X¯, and 17 for s in the above mentioned formula,

### Want to see the full answer?

Check out a sample textbook solution.See solution

### 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

Find more solutions based on key concepts
Show solutions
Evaluate the indefinite integral. xx+2dx

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 23-32, determine whether the statement is true or false. Give a reason for your choice. 26. 33 + 3...

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

In Problems 7-12, find .

Mathematical Applications for the Management, Life, and Social Sciences

Factor: 9a29ax2

Elementary Technical Mathematics

Sometimes, Always, or Never: If c is a critical number, then f′(c) = 0.

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

Which is the best graph of r = 1 − sin θ for 0 ≤ θ ≤ π?

Study Guide for Stewart's Multivariable Calculus, 8th

TEST FOR UNDERSTANDING FOR EXAMPLE 5.14 Find a formula for the path of the cannonball if the slope of the angle...

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