The z-score transformation is a useful statistical tool because it enables statisticians to

Question 1 options:

	Compare and interpret scores from virtually any distribution
	Transform data by multiplying by a constant
	Revise the shape of distributions so that they will be normal
	Determine if the data is normally distributed

Question 2(2 points)

A distribution has a mean of 20 and a standard deviation of 2. The raw score corresponding to a z score of 3.10 is

Question 2 options:

a)

-13.80

b)

-26.20

c)

26.20

d)

13.80

Question 3(2 points)

Mark scored in the 27th percentile on the SATs verbal. His z score was

Question 3 options:

a)	Unable to determine from the given information

b)

Zero

c)

Positive

d)

Negative

Question 4(2 points)

If a distribution of scores is transformed into z scores, the mean of the z scores will be _________ and the standard deviation of the z scores will be________.

Question 4 options:

	1.00; 0.00
	100; 15
	0.00; 1.00
	It depends on the original data

Question 5(2 points)

z-scores can be calculated from

Question 5 options:

a)

the range

b)	interval or ratio data

c)

any data

d)	nominal or ordinal data

Question 6(2 points)

What is your best guess for the percentage of the curve in the gray shaded area?

Question 6 options:

a)

5%

b)

50%

c)

56%

d)

17%

Question 7(2 points)

Jay scored in the 87th percentile on the SATs verbal. His SAT verbal score was

Question 7 options:

a)	Above the mean

b)	Equal to the mean

c)	Below the mean

d)	Unable to determine from the given information

Question 8(2 points)

It is possible to find that -52.13% of scores are less than your z score

Question 8 options:

	True
	False

Question 9(2 points)

Jeanine has size 8.50 feet. The for women's shoe size is 7.53, = 0.85. What is her z score?

Question 9 options:

a)

1.14

b)

.97

c)

1.11

d)

-1.14

Question 10(2 points)

Ian scored in the 36th percentile for salary. His salary was

Question 10 options:

a)	Equal to the mean

b)	Above the mean

c)	Below the mean

d)	Unable to determine from the given information

Question 11(2 points)

What is your best guess for the percentage of the curve in the gray shaded area?

Question 11 options:

a)

17%

b)

5%

c)

50%

d)

59%

Question 12(2 points)

The inflection points on the normal curve are at z=_________

Question 12 options:

A)

0

B)

1

C)

-1

D)

B and C

Question 13(2 points)

If you know the number of standard deviations a score is from the mean, then you know

Question 13 options:

	The z score
	The mean of the distribution
	The absolute size of the standard deviation
	The range of the distribution

Question 14(2 points)

Matt scored in the 50th percentile for height. His height was

Question 14 options:

a)	Equal to the mean

b)	Unable to determine from the given information

c)	Above the mean

d)	Below the mean

Question 15(2 points)

Cathy scored in the 31st percentile for salary. The z score for her salary was

Question 15 options:

a)

Zero

b)

Positive

c)	Unable to determine from the given information

d)

Negative

Question 16(2 points)

Craig has one sister. On average, people have 1.40 siblings, with a standard deviation of 0.85. What is his z score?

Question 16 options:

a)

.47

b)

-.11

c)

-.47

d)

.11

Question 17(2 points)

A distribution has a mean of 30.54 and a standard deviation of 1.60. The raw score corresponding to a z score of 1.32 is .

Question 17 options:

a)

-18.26

b)

36.04

c)

-0.01

d)

32.65

Question 18(2 points)

For any given distribution of scores, what percentage of people score between -1 and +1 standard deviations from the mean?

Question 18 options:

a)

34%

b)

100%

c)

68%

d)

2.5%

Question 19(2 points)

It is possible to obtain a z score of 2.36

Question 19 options:

	True
	False

Question 20(2 points)

A normal curve is

Question 20 options:

	Rectangular
	Bimodal
	Symmetrical
	Skewed