A toy factory owner plans to give pay raises this year using a normal distribution. She will make the mean raise $1000 and the standard deviation $168. Basing this on worker productivity (toys constructed), the most productive 10% of employees will see a raise of at least how much?each.

Question

A toy factory owner plans to give pay raises this year using a normal distribution.  She will make the mean raise $1000 and the standard deviation $168.  Basing this on worker productivity (toys constructed), the most productive 10% of employees will see a raise of at least how much?each.

anonymous · Answer

You know it's a normal distribution, so how do you find the area under the curve for the upper 10%?

anonymous · Answer

I'm not sure. Should I look at z-scores?

anonymous · Answer

Sure.  Since you want to top 10%, you need to find the z-score for the 90th percentile, right?

anonymous · Answer

THANKS :)