Let us assume the weekly wages of all clerical workers for the city of Hays are normally distributed with a mean of $723 and a standard deviation of $151.

a) Describe the graph of this distribution by telling the shape, naming the value at the peak, and giving the horizontal scale values at one, two, and three standard deviations to the left and one, two, and three standard deviations to the right of the mean.

i. peak:

ii. left scale:

iii. right scale:

b)Find the probability that the salary of a random city of Hays clerical employee is greater than $1050.Based upon your results, would it be unusual to find a salary of greater than $1050?Explain.

c) Suppose you look at the average weekly salaries of a sample size of 64.Describe the graph of this sampling distribution by telling the shape, naming the value at the peak, and giving the horizontal scale values one, two, and three standard deviations to the left and one, two and three standard deviations to the right of the mean, as theorized by the Central Limit Theorem.

i. Shape:

ii. Peak:

iii. Left Scale:

iv. Right scale:

d)Find the probability that the mean salary of workers (from a sample size of 64) will be less than $700.Based upon your results, would it be unusual to find a sample of size 64 where the mean salary is less than $750?Explain.