Hello I need Help with this Homework :) .

2) A distribution has a standard deviation of =10 . Find the z-score for each of the following locations in the distribution.

A) Above the mean by 5 points.

B) Above the mean by 2 points.

C) Below the mean by 20 points.

D) Below the mean by 15 points.

3) For a distribution with a standard deviation of =20 , describe the location of each of the following z-scores in terms of its position relative to the mean. For example, z=+1.00 is a location that is 20 points above the mean.

A. z = + 2.00

B. z = + 0.50

C. z = - 1.00

D. z = - 0.25

4.

For a population with =60 and =12 ,

A. Find the z-score for each of the following X values. (Note: You should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations.)

X = 75 X = 48 X = 84

X = 54 X =78 X =51

B. Find the score (X value) that corresponds to each of the following z-scores. (Again, you should not need a formula or any serious calculations.)

Z = 1.00 Z = 0.25 Z = 1.50

Z =-0.50 Z= -1.25 Z = -2.50

5.

For a population with =40 and =11 , find the z-score for each of the following X values. (Note: You probably will need to use a formula and a calculator to find these values.)

X = 45 X = 52 X =41

X =30 X = 25 X =38

6.

For a population with a mean of =100 and a standard deviation of =20 ,

A. Find the z-score for each of the following X values

X =108 X =115 X =130

X =90 X =88 X =95

B. Find the score (X value) that corresponds to each of the following z-scores

Z =-0.40 Z =-0.50 Z =1.80

Z =0.75 Z =1.50 Z =-1.25

8.

Find the z-score corresponding to a score of X=45 for each of the following distributions.

A. =40 and = 20

B. =40 and = 10

C. =40 and = 5

D. =40 and = 2

10.

A score that is 6 points below the mean corresponds to a z-score of z=-2.00 . What is the population standard deviation?