A supervisor finds the mean number of miles that the employees in a department live from work. He finds mc020-1.jpg and mc020-2.jpg. Which mileage is within a z-score of 1.5?

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Tranquility · Answer

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Tranquility · Answer

@amelyajankens

Evo · Answer

this is question:

A supervisor finds the mean number of miles that the employees in a department live from work. He finds x=29 and s=3.6. Which mileage is within a z-score of 1.5?

Ferredoxin4 · Answer

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:

$$Z_{score} = \frac{ X-μ }{ σ }$$

It's given that x̄=29 (statistic for a mean) and s=3.6 (statistic for a standard deviation.
Z-score must be LESS than 1.5

$$|1.5>\frac{ x-29 }{ 3.6 }|$$

Simple algebra here now. I just used normalcdf and got 23.6<x<34.4
I'm not sure what your options are, so just match them.

Ferredoxin4 · Answer

|dw:1559928314507:dw|

Just a diagram so you understand it better.