Question

A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score of 1.5? A. 21 miles B. 24 miles C. 36 miles D. 41 miles

Answer 1

The z-score tells you how many standard deviations from the mean. 

1.5 * 3.6 = 5.4 miles 

So anything within 5.4 miles of the average (29). 

The range would be: 
29 - 5.4 = 23.6 
to: 
29 + 5.4 = 34.4 

23.6 ≤ x ≤ 34.4 

Answer: 
B) 24 miles

Answer 2

The mileage is within a z-score of 1.5 is (b) 24 miles

How to determine the mileage?

From the complete question, we have the following parameters:

Standard deviation = 3.6

Mean = 18.6

z = 1.5

The z-score is calculated using:

$z= \frac{x - \mu}{\sigma}$

So, we have:

$1.5= \frac{x - \mu}{\sigma}$

Cross multiply

$x - \mu= 1.5\sigma$

Make x the subject

$x = 1.5\sigma + \mu$

Substitute known values

$x = 1.5 * 3.6 + 18.6$

Evaluate

x = 24

Hence, the mileage is within a z-score of 1.5 is (b) 24 miles

Read more about z-scores at:

https://brainly.com/question/25638875

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