Question

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

a.z = +2.00

Answer:

b.z = +.50

Answer:

c.z = -1.00

Answer:

d.z = -0.25

Answer:

3.For a population with μ = 80 and σ = 10,

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:z =_____X = 100: z = ____X = 60: z = _____

X = 95:z=______X = 50: z =______X = 85 z = ______

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: X= ____z = 0.20: X=______z = 1.50: X= ____

z = -0.50: X=_____z = -2.00: X= ______ z = -1.50: X=_____

Answer 1