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 5.14P
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,

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