Question 1

Given the following quiz scores: 10, 9, 8, 7, 6
a. What is the z-score for a raw score of 7?
b. What is the z-score for a raw score of 10?

Accepted Answer

$\begin{array}{rr}
\underline{X} & \underline{X^{2}} \
10 & 100 \
9 & 81 \
8 & 64 \
{7}& {49} \
\underline{6}&\underline{36}\
40 & 336
\end{array}$ $\begin{array}{l}
\mu=\frac{40}{5}=8 \
\sigma=\sqrt{\frac{330-\frac{(40)^{2}}{5}}{5}}=1.41
\end{array}$
a. $ z=\frac{7-8}{1.41}=-.71 $
b. $ z=\frac{10-8}{1.41}=+1.42 $

Question 2

A distribution has a μ = 46 and a σ = 4. What is the equivalent raw score for a person with a z-score of 1.5?

Accepted Answer

A)  54 
B)  52 
C)  50 
D)  40 
A)  54 
B)  52 
C)  50 
D)  40 B

Question 3

A distribution has μ = 40 and σ= 5. Yan scored two standard deviations above the mean. Yan's score was ________.

Accepted Answer

A)  45 
B)  50 
C)  55 
D)  60 
A)  45 
B)  50 
C)  55 
D)  60 B

Question 4

Colby's speed was 24 minutes for his most recent 5K race and his z-score was -2.00. The standard deviation for the race was 4 minutes. What was the mean?

Accepted Answer

4. Since Colby scored two stan

Question 5

The mean of a z-score distribution is

Accepted Answer

A)  10. 
B)  5. 
C)  1. 
D)  0. 
A)  10. 
B)  5. 
C)  1. 
D)  0.

Question 6

The numerator in the formula for a z-score is

Accepted Answer

A)  a deviation score. 
B)  the standard deviation. 
C)  SS 
D)  ∑X² 
A)  a deviation score. 
B)  the standard deviation. 
C)  SS 
D)  ∑X²

Question 7

Three friends, who are also very competitive, enrolled in three different sections of the same history course. Their raw scores on the first test, along with the means and standard deviations of their respective sections, are listed below.
 $\begin{array}{llll}
&\underline{X} &\mu& \sigma \
\text { Marcus } & 81 & 79 & 3 \
\text { Klaus } & 98 & 85 & 6 \
\text { Ethan } & 64 & 75 & 5
\end{array}$ a. Who gets bragging rights? Explain.
b. Who should devise a new study strategy? Explain.

Accepted Answer

Bragging rights or try something else:
M

Question 8

Elijah's z-score was -.25 in a distribution where the mean was 70 and the standard deviation was 8. What is his raw score?

Accepted Answer

A)  68 
B)  65 
C)  69.75 
D)  72 
A)  68 
B)  65 
C)  69.75 
D)  72

Question 9

If one z-score from a distribution is -1 for a raw score of 66 and another z-score is +3 for a raw score of 78, what is the standard deviation for the distribution?

Accepted Answer

A)  2 
B)  4 
C)  3 
D)  6 
A)  2 
B)  4 
C)  3 
D)  6

Question 10

To use the TSS formula,

Accepted Answer

A)  raw scores have to first be converted to z-scores. 
B)  a mean has to be specified. 
C)  a standard deviation has to be specified. 
D)  All of the above are true. 
A)  raw scores have to first be converted to z-scores. 
B)  a mean has to be specified. 
C)  a standard deviation has to be specified. 
D)  All of the above are true.

Question 11

A z-score provides information about

Accepted Answer

A)  the distribution's overall variability. 
B)  a person's relative position in a distribution. 
C)  the most representative value in a distribution. 
D)  the range of scores in a distribution. 
A)  the distribution's overall variability. 
B)  a person's relative position in a distribution. 
C)  the most representative value in a distribution. 
D)  the range of scores in a distribution.

Question 12

If we wanted to see a person's relative standing from scores on two different tests,

Accepted Answer

A)  we would compare the person's raw scores to the means of each distribution. 
B)  both of the person's raw scores would have to be transformed into z-scores. 
C)  the standard deviations would have to be the same for both distributions. 
D)  It cannot be done if the means and standards deviations are different for each distribution. 
A)  we would compare the person's raw scores to the means of each distribution. 
B)  both of the person's raw scores would have to be transformed into z-scores. 
C)  the standard deviations would have to be the same for both distributions. 
D)  It cannot be done if the means and standards deviations are different for each distribution.

Question 13

A set of scores has a σ = 4. Susan's score was 93 which converted to a z-score of +2.00. What was the mean of the distribution?

Accepted Answer

A)  77 
B)  81 
C)  85 
D)  89 
A)  77 
B)  81 
C)  85 
D)  89

Question 14

A set of population scores along with some summary information is listed below.
 $\begin{array}{rr}
\underline{X}& \underline{X^{2}} \
{8} & {64}\
7 & 49 \
6 & 36 \
5 & 25 \
4 & 16 \
\underline{3}& \underline{9}\
{3} &{39}\
\end{array}$ 
a. What is the z-score for a raw score of 8?
b. What is the z-score for a raw score of 3?

Accepted Answer

None

Question 15

A distribution has a mean of 50 and a standard deviation of 10. Robin scored 35. What is her equivalent z-score?

Accepted Answer

A)  -1.5 
B)  -15 
C)  -.67 
D)  -2 
A)  -1.5 
B)  -15 
C)  -.67 
D)  -2

Question 16

Briefly define the following terms:
a. z-score
b. Standard score
c. Transformed standard score

Accepted Answer

Definitions:
a. z-Score: a type of stand

Question 17

To change a raw score to a z-score, you need to

Accepted Answer

A)  specify a new mean and standard deviation. 
B)  convert all of the raw scores into z-scores. 
C)  use the TSS formula. 
D)  know the mean and standard deviation of the distribution. 
A)  specify a new mean and standard deviation. 
B)  convert all of the raw scores into z-scores. 
C)  use the TSS formula. 
D)  know the mean and standard deviation of the distribution.

Question 18

In a distribution with μ = 68 and σ = 4, Curtis scored two standard deviations above the mean. His raw score is ________.

Accepted Answer

A)  70 
B)  72 
C)  74 
D)  76 
A)  70 
B)  72 
C)  74 
D)  76

Question 19

The denominator in the formula for a z-score is

Accepted Answer

A)  a deviation score. 
B)  the standard deviation. 
C)  SS 
D)  ∑X² 
A)  a deviation score. 
B)  the standard deviation. 
C)  SS 
D)  ∑X²

Question 20

A person's raw score is 6 points below the mean and has a z-score of -2. What is the standard deviation for that distribution?

Accepted Answer

A)  12 
B)  9 
C)  3 
D)  -12 
A)  12 
B)  9 
C)  3 
D)  -12

Given the following quiz scores: 10, 9, 8, 7, 6 a. What is the z-score for a raw score of 7? b. What is the z-score for a raw score of 10?

A distribution has a μ = 46 and a σ = 4. What is the equivalent raw score for a person with a z-score of 1.5?

A distribution has μ = 40 and σ= 5. Yan scored two standard deviations above the mean. Yan's score was ________.

Colby's speed was 24 minutes for his most recent 5K race and his z-score was -2.00. The standard deviation for the race was 4 minutes. What was the mean?

The mean of a z-score distribution is

The numerator in the formula for a z-score is

Elijah's z-score was -.25 in a distribution where the mean was 70 and the standard deviation was 8. What is his raw score?

If one z-score from a distribution is -1 for a raw score of 66 and another z-score is +3 for a raw score of 78, what is the standard deviation for the distribution?

To use the TSS formula,

A z-score provides information about

If we wanted to see a person's relative standing from scores on two different tests,

A set of scores has a σ = 4. Susan's score was 93 which converted to a z-score of +2.00. What was the mean of the distribution?

A set of population scores along with some summary information is listed below. 8 64 7 49 6 36 5 25 4 16 3 39 a. What is the z-score for a raw score of 8? b. What is the z-score for a raw score of 3?

A distribution has a mean of 50 and a standard deviation of 10. Robin scored 35. What is her equivalent z-score?

Briefly define the following terms: a. z-score b. Standard score c. Transformed standard score

To change a raw score to a z-score, you need to

In a distribution with μ = 68 and σ = 4, Curtis scored two standard deviations above the mean. His raw score is ________.

The denominator in the formula for a z-score is

A person's raw score is 6 points below the mean and has a z-score of -2. What is the standard deviation for that distribution?

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Factorial Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

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Exam 5: Z-Scores and Other Standard Scores

Given the following quiz scores: 10, 9, 8, 7, 6 a. What is the z-score for a raw score of 7? b. What is the z-score for a raw score of 10?

A distribution has a μ = 46 and a σ = 4. What is the equivalent raw score for a person with a z-score of 1.5?

A distribution has μ = 40 and σ= 5. Yan scored two standard deviations above the mean. Yan's score was ________.

Colby's speed was 24 minutes for his most recent 5K race and his z-score was -2.00. The standard deviation for the race was 4 minutes. What was the mean?

The mean of a z-score distribution is

The numerator in the formula for a z-score is

Elijah's z-score was -.25 in a distribution where the mean was 70 and the standard deviation was 8. What is his raw score?

If one z-score from a distribution is -1 for a raw score of 66 and another z-score is +3 for a raw score of 78, what is the standard deviation for the distribution?

To use the TSS formula,

A z-score provides information about

If we wanted to see a person's relative standing from scores on two different tests,

A set of scores has a σ = 4. Susan's score was 93 which converted to a z-score of +2.00. What was the mean of the distribution?

A set of population scores along with some summary information is listed below. 8 64 7 49 6 36 5 25 4 16 3 39 a. What is the z-score for a raw score of 8? b. What is the z-score for a raw score of 3?

A distribution has a mean of 50 and a standard deviation of 10. Robin scored 35. What is her equivalent z-score?

Briefly define the following terms: a. z-score b. Standard score c. Transformed standard score

To change a raw score to a z-score, you need to

In a distribution with μ = 68 and σ = 4, Curtis scored two standard deviations above the mean. His raw score is ________.

The denominator in the formula for a z-score is

A person's raw score is 6 points below the mean and has a z-score of -2. What is the standard deviation for that distribution?

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Factorial Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters