Question

A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which statement must be true? z37 is within 1 standard deviation of the mean. Z37 is between 1 and 2 standard deviations of the mean. Z37 is between 2 and 3 standard deviations of the mean. Z37 is more than 3 standard deviations of the mean.

Answer 1

The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A supervisor finds the mean number of miles that the employees in a department live from work.

μ = 29 and σ = 3.6

Z-37

Then we have

$\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22$

Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

More about the normal distribution link is given below.

brainly.com/question/12421652