Question

Sta4.A radar detector records the speeds of a group of motorists that pass by. If the mean is 52 mph and thestandard deviation is 3.2 mph, find the Z-score for 48 mph.Answer:

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

mean = 52 mph

standard deviation = 3.2 mph

score = 48 mph

Step 02:

Z-score:

$z=\text{ }\frac{x-u}{\sigma}$

$z=\frac{52-48}{3.2}=\frac{4}{3.2}=1.25$

The answer is:

z = 1.25