Question

A company pays its employees an average wage of $15.90 an hour with a standard deviation of $1.50. If the wages are approximately normally distributed and paid to the nearest cent,

(a) what percentage of the workers receive wages between $13.75 and $16.22 an hour inclusive?

(b) the highest 5% of the employee hourly wages is greater than what amount?

Answer 1

Given that,

X represents that the wages are approximately normally distributed with mean, and the standard deviation.

a)

Now, we want to find the percentage of the workers receive wages between $13.75 and $16.22 an hour inclusive

Hence

Therefore, 51% of the workers receive wages between $13.75 and $16.22.

b)

Now, we want to find how much of amount is greater than the highest 5% of the employee hourly wages

From Table A.3

Therefore,