Question

Scores on an English test are normally distributed with a mean of 37.6 and a standard deviation of 7.6. Find the score that separates the top 59% from the bottom 41%.

Please show work!

Answer 1

35.9

Explanation:

The "work" is entering the numbers into a suitable probability calculator. A TI-84 calculator will tell you ...

invNorm(0.41,37.6,7.6) = 35.87065818

A score of about 35.9 separates the bottom 41% from the top 59%.