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4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 5, Problem 5.11P

Textbook Problem

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Expert Solution

To determine

**To find:**

If an individual with a score of 110 is accepted in the local police force.

**Given:**

The local police force gives all applicants an entrance exam and accepts only those applicants who score in the top 15% on this test. The mean score is 87 and the standard deviation is 8.

**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

The formula to calculate the

Where,

**Calculation:**

Given that the mean is 87 and standard deviation is 8.

For the score of 110,

Substitute 110 for

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