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 mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.

Answer 1

The correct option is (B).24 miles.

Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.

Otherwise, just use the basic formula:

$z_{score} =\dfrac{x-\mu}{\sigma}$

 Given that,

$\bar{x}=29$ (statistic for a mean) and $s=3.6$ (statistic for a standard deviation).

Since z-score must be Less than 1.5, So

$1.5> \dfrac{x-29}{3.6}$

$1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x$

I just used normal cdf and got $23.6$.

Hence the correct option is (B).24 miles.

For more details on z score follow the link:

brainly.com/question/13299273