Statistics

Multiple Choice

 

Which of the following is defined as the middle-most score:

a. mean

b. median

c. mode

d. standard deviation

e. frequency distribution

2. Which of the following is defined as the-most common (popular) score:

a. mean

b. median

c. mode

d. standard deviation

e. frequency distribution

3. When a curve is skewed, which of the following is the middle-most score:

a. mean

b. median

c. mode

d. standard deviation

e. frequency distribution

4. Which of the following is most affected by outlying scores:

a. mean

b. median

c. mode

d. B and C

e. A, B and C are equally affected

5. When a distribution is positively skewed, the mean is __________ the median:

a. lower than

b. equal to

c. higher than

d. twice as large as

e. twice as small as

For the next five items, consider the following numbers:

76

69

68

67

67

67

66

65

58

6. What is the median of these numbers:

a. 18

b. 33

c. 58

d. 67

e. 76

7. What is the mode of these numbers:

a. 18

b. 33

c. 58

d. 67

e. 76

8. What is the range of these numbers:

a. 18

b. 33

c. 58

d. 67

e. 76

9. This distribution is best described as:

a. normal

b. positively skewed

c. negatively skewed

d. bimodal

e. extensive

10. Without using a calculator, what is the mean of the above data (hint: see item #9):

a. 47.5

b. 64.3

c. 67

d. 68.4

e. 68.7

 

The more variability in a distribution, the larger its:
a. mean
b. median
c. mode
d. standard deviation
e. all of the above

2. Sums of squares is a measure of:
a. dispersion
b. central tendency
c. covariance
d. interpolation
e. extrapolation

3. Which of the following is the average of the squared deviations:
a. mean
b. mean variance
c. sum of squares
d. standard deviation
e. variance

4. From one standard deviation above and below the mean accounts for what percent of the scores:
a. 17%
b. 25%
c. 34%
d. 68%
e. 95%

5. Which of the following is the square root of variance:
a. mean
b. median
c. mode
d. mean variance
e. standard deviation

6. To calculate the variance of a population, Sums of Squares is divided by:
a. N
b. N-1
c. N-2
d. N-3
e. mean

7. Which of the following is the best measure of the fluctuation of a company’s stock price:
a. mean
b. median
c. mode
d. mean variance
e. standard deviation

8. When looking for a homogeneous group of people, we should choose the one with:
a. the largest mean
b. the smallest mean
c. the largest standard deviation
d. the smallest standard deviation
e. the mode in the middle

9. A score of 50 on a test with a mean of 100 would be considered normal if the standard deviation was:
a. 1
b. 5
c. 10
d. 20
e. none of the above

10. A score of 50 on a test with a mean of 55 would be considered quite unusual if the standard deviation was:
a. 1
b. 5
c. 10
d. 20
e. none of the

Which of the following has multiple predictors and a single outcome measure (criterion)
a. multivariate analysis
b. independent t-test
c. multiple regression
d. regression
e. correlation

 

An ordinal scale meets which of the following assumptions:

1. ordering in magnitude
2. equal units
3. A and B
4. A and B plus other assumptions
5. none of the above

2. A ratio scale meets which of the following assumptions:
3. ordering in magnitude
4. equal units
5. A and B
6. A and B plus other assumptions
7. none of the above

3. A nominal scale meets which of the following assumptions:
4. ordering in magnitude
5. equal units
6. A and B
7. A and B plus other assumptions
8. none of the above

4. A test which only orders traits in magnitude is best described as:
5. cardinal
6. interval
7. nominal
8. ratio
9. ordinal

5. An item which asks people to rate something from 1 to 5 (5 being high) is on what level of measurement:
6. cardinal
7. interval
8. nominal
9. ratio
10. ordinal

6. The more samples taken, the more normal the curve looks, according to the:
7. critical-limit hypothesis
8. null-limit hypothesis
9. maximum-limit theorem
10. unbiased-limit theorem
11. central-limit theorem

7. A cumulative frequency divided by N (times 100) equals:
8. proportion
9. percent
10. percentile
11. preponderance
12. posthumous

8. Which of the following is an example of a grouped frequency distribution:
9. data matrix
10. correlation
11. regression
12. histogram
13. t-test

9. Which of the following is defined as a score divided by the total possible:
10. frequency distribution
11. percentile
12. sample
13. percent
14. proportion

10. The number of obstacles a horse jumps over would be a(n) ___________ measurement.
11. cardinal
12. interval
13. nominal
14. ratio

 

 

4

A z-score of +2 on a test with a mean of 100 and a standard deviation of 10 would equal a score of:

1. 80
2. 95
3. 100
4. 102
5. 120

2. Which of the following is calculated by subtracting the mean from the score and dividing by the standard deviation:
3. intelligence quotient
4. z-score
5. t score
6. stanine
7. percentile

3. What percentile is associated with a z-score (1-tailed) of 1.52:
4. .063
5. .437
6. .737
7. .747
8. .939

4. Using the tables at the back of the book, how much area is beyond a z-score of .61:
5. .027
6. .229
7. .271
8. .374
9. .427

5. What percentage of scores are between a z-score of -1.3 and a z of +1.65:
6. 52%
7. 64%
8. 68%
9. 72%
10. 86%

6. A z-score of -1 on a test with a mean of 90 and a standard deviation of 10 would equal a score of:
7. 80
8. 95
9. 100
10. 102
11. 120

7. What area under a normal curve is associated with a z-score (1-tailed) of .52:
8. .0636
9. .4375
10. .6985
11. .8475
12. .9375

8. Using the tables at the back of the book, how much area is beyond a z-score of -2.61:
9. .0045
10. .1745
11. .4570
12. .5045
13. .9045

9. What percentage of scores are between a z-score of -1.04 and a z of +.45:
10. 52%
11. 64%
12. 68%
13. 72%
14. 86%

10. A z-score of -1.5 on a test with a mean of 100 and a standard deviation of 10 would equal a score of:
11. 85
12. 95
13. 100
14. 105

 

5

Which of the following gives the correlation between two discrete variables:

1. phi
2. Pearson r
3. least squares criterion
4. point biserial
5. confidence level

2. Which of the following correlation coefficients shows the greatest amount of relationship:
3. .23
4. .45
5. .56
6. .71
7. -.89

3. A correlation between two variables:
4. proves A causes B
5. proves B causes A
6. proves C causes A
7. proves C causes B
8. none of the above

4. Which of the following best describes this correlation:

1. strong, positive
2. strong, negative
3. weak, positive
4. weak, negative
5. no correlation

5. The angle of a regression line is called:
6. intercept
7. intersect
8. slope
9. shift
10. the point where X and Y meet

6. Scores which are projected beyond their samples are said to be:
7. interpolated
8. extrapolated
9. innovated
10. interpreted
11. insubstantiated

7. Scores which predict between samples are said to be:
8. interpolated
9. extrapolated
10. innovated
11. interpreted
12. insubstantiated

8. Covariance divided by the product of the standard deviations of X and Y equals:
9. correlation
10. intercept
11. slope
12. criterion
13. linkage

9. The standard error of estimate is best understood as:
10. Sums of Squares
11. variance
12. standard deviation
13. mean
14. median

10. As a director of marketing, you are interested in how well your sales did over the year. In particular, you are curious whether last year’s revenue is a good predictor of this year’s. Since you are interested in how well one test acts as a linear predictor of another, which of the following tests should you perform:
11. t-test
12. ANOVA
13. correlation
14. regression
15. multiple regression

6

Which of the following do we select, manipulate, impose or induce:

1. independent variable
2. dependent variable
3. moderator variable
4. suppressor variable
5. intervening variable

2. Which of the following do we measure, observe or record:
3. independent variable
4. dependent variable
5. moderator variable
6. suppressor variable
7. intervening variable

3. In an actual research study, annual income could be:
4. a predictor
5. a criterion
6. type I error
7. either A or B

c A, B or C

4. A test which is given to widely varied groups will probably result in a distribution which is:
5. linear
6. normal
7. skewed
8. curvilinear
9. criterion-referenced

5. A factor whose levels are described as “high” and “low” is:
6. valid
7. reliable
8. discrete
9. logarithmic
10. continuous

6. The type of relationships between model components is determined by our:
7. theoretical questions
8. empirical analysis
9. sampling error
10. statistical bias
11. control groups

7. Which of the following is a graphic description of scores:
8. sample
9. percent
10. percentile
11. population analysis
12. frequency distribution

8. A selected part of a larger group is called a:
9. sample
10. percent
11. percentile
12. population analysis
13. frequency distribution

9. A test which describes a restricted range of people might well result in a distribution which is:
10. bimodal
11. positively skewed
12. negatively skewed
13. B and C
14. A, B and C

10. The following distribution is best described as:

1. normal
2. positively skewed
3. negatively skewed
4. bimodal
5. strange

7

Covariance divided by the variance of X equals:

1. correlation
2. intercept
3. slope
4. criterion
5. linkage

2. A null hypothesis says that two means are:
3. significantly different
4. slight different
5. not significantly different
6. maybe different
7. you have hit the null on the head

3. A t-test compares:
4. two medians
5. two modes
6. two means
7. two variables
8. two standard deviations

4. A t-test is calculated like which of the following:
5. point estimation
6. sum of squares
7. degrees of freedom
8. z-scores
9. confidence levels

5. Rejecting the null when you should have accepted it is a:
6. Type I error
7. Type II error
8. Type III error
9. Typo error
10. Not My Type error

6. Compared to an alpha level of .20, an alpha level of .05 is less likelyto have:
7. Type I error
8. Type II error
9. Type III error
10. Type O error
11. Not My Type error

7. When the null hypothesis is true, the expected value for an independent measures t statistic is:
8. 0
9. +1.0
10. -1.0
11. +1 or -1
12. none of the above

8. When t = 2.01 and N = 5000, it indicates that the means are significantly different (2 tailed) at the:
9. .20 alpha level
10. .05 alpha level
11. .01 alpha level
12. both A and B
13. A, B and C

9. When t = 4.3 and N = 50, it indicates that the means are significantly different (2 tailed) at the:
10. .20 alpha level
11. .05 alpha level
12. .01 alpha level
13. both A and B
14. A, B and C

10. An alpha level of .20 results in what z-score (1 tailed):
11. .69
12. .86
13. 1.33
14. 1.65
15. 1.96

8

 

If the probability of being hit by lightning is .3 (it’s a very stormy night), and the probability of eating chocolate ice cream is .5, what is the probability of eating ice cream AND being hit by lightning?

1. .3
2. .5
3. .8
4. .15
5. .25

2. In the simplest case, the probability of either A or B occurring is calculated by:
3. adding the probabilities
4. subtracting the probabilities
5. multiplying the probabilities
6. dividing the probabilities
7. both A and C

3. If the alpha level is set at .05, the probability of making a Type I error is:
4. .01
5. .02
6. .05
7. .10
8. .20

4. The probability of passing this test item is:
5. o
6. p
7. q
8. r
9. extremely unlikely

5. A nondirectional test of significance is said to be:
6. no-tailed
7. one-tailed
8. two-tailed
9. three-tailed
10. four-tailed

6. An independent measures experiment uses two samples with n = 8 in each group to compare two experimental treatments. The t statistic from this experiment will have degrees of freedom equal to:
7. 7
8. 8
9. 14
10. 15
11. 16

7. The advantage of a repeated measures design is that it reduces the contribution of error variability due to:
8. mean of D
9. degrees of freedom
10. the effect of the treatment
11. individual differences
12. none of the above

8. For a repeated measures experiment, df = 10. How many subjects were used in the entire study:
9. 9
10. 10
11. 11
12. 18
13. 22

9. Compared to a one-way test (at the same alpha level), a two-tailed test is less likely to have:
10. Type I error
11. Type II error
12. Type III error
13. Type O error
14. None of the above

10. How many dependent variables does a t-test have:
11. 1
12. 2
13. 3
14. N

9

consistent measurement is:

1. reliable
2. discrete
3. continuous
4. valid
5. logarithmic

2. An independent t-test assumes that:
3. subjects are randomly assigned
4. subjects are from different populations
5. two independent variables are equal
6. the null hypothesis is true
7. none of the above

3. A correlation assumes that:
4. subjects are randomly assigned
5. subjects are from different populations
6. two independent variables are equal
7. sample size is small
8. none of the above

4. An independent t-test has degrees of freedom equal to:
5. N
6. N minus 1
7. N minus 2
8. N minus k
9. N minus standard deviation

5. A correlated t-test has degrees of freedom equal to:
6. N
7. N minus 1
8. N minus 2
9. N minus k
10. N minus standard deviation

6. Which of the following uses pooled variance as an error term:
7. regression
8. one-way ANOVA
9. t-test
10. factorial ANOVA
11. all of the above

7. In a nondirectional hypothesis:
8. the larger mean should be subtracted from the smaller
9. the smaller mean should be subtracted from the larger
10. the mean used to estimate the population mean should be subtracted from the sample mean
11. the sample mean should be subtracted from the mean used to estimate the population mean
12. It doesn’t matter which mean is subtracted from which

8. In a null hypothesis assumes that the t-statistic is equal to:
9. +2
10. +1
11. 0
12. -1
13. -2

9. When more than two groups are to be compared, which of the following should be used:
10. regression
11. one-way ANOVA
12. t-test
13. naturalistic observation
14. all of the above

10. How many dependent variables are used in a t-test:
11. 4
12. 3
13. 2
14. 1

 

10

Which of the following has multiple predictors and a single outcome measure (criterion)
a. multivariate analysis
b. independent t-test
c. multiple regression
d. regression
e. correlation

2. Which of the following shows the interaction of 2 independent variables:
a. regression
b. one-way ANOVA
c. t-test
d. factorial ANOVA
e. all of the above

3. In a 2x3x4 factorial design, how many independent variables are there:
a. 1
b. 3
c. 6
d. 9
e. 24

4. How many dependent variables are in a 3×3 factorial ANOVA design:
a. 1
b. 2
c. 3
d. 6
e. 9

5. In a factorial ANOVA, degrees of freedom for SSbetween equals:
a. N
b. N minus 1
c. k
d. k minus 1
e. N minus k

6. In a factorial ANOVA, degrees of freedom for SSwithin equals:
a. N
b. N minus 1
c. k
d. k minus 1
e. N minus k

7. In a factorial ANOVA, degrees of freedom for SStotal equals:
a. N
b. N minus 1
c. k
d. k minus 1
e. N minus k

8. Which of the following has multiple predictors and multiple criteria:
a. multivariate analysis
b. independent t-test
c. multiple regression
d. regression
e. correlation

9. Which of the following should be used to compare three or more groups:
a. t
b. F
c. r
d. r-squared
e. z

10. Which of the following is an estimate of error (individual differences):
a. SStotal
b. SSbetween
c. SSwithin
d. correlation
e. regression

Resources you can use.

Formulas

Critical Values of t

Critical Values of F

Critical Values of r

Nonparametrics

Decision Tree.

 

Note that the tables are unofficial and for instructional purposes only.

Statistics Final Exam

Want to jump ahead?

• What is statistics?
• Ten Day Guided Tour
  • Measurement
  • Central Tendency
  • Dispersion
  • Z Scores
  • Correlation
  • Regression
  • Probably
  • Independent t-Test
  • One-Way ANOVA
  • Advanced Procedures
• How To Calculate Statistics
• Start At Square One
• Practice Items
• Resources
  • Formulas
  • Critical Values of t
  • Critical Values of F
  • Critical Values of r
  • Nonparametrics
  • Decision Tree.
• Final Exam

Book

Statictics Safari

Photo by laura adai on Unsplash

 

Multiple Choice

 

1. Which of the following is defined as the middle-most score:

a. mean

b. median

c. mode

d. standard deviation

e. frequency distribution

 

2. Which of the following is defined as the-most common (popular) score:

a. mean

b. median

c. mode

d. standard deviation

e. frequency distribution

3. When a curve is skewed, which of the following is the middle-most score:

a. mean

b. median

c. mode

d. standard deviation

e. frequency distribution

4. Which of the following is most affected by outlying scores:

a. mean

b. median

c. mode

d. B and C

e. A, B and C are equally affected

5. The more variability in a distribution, the larger its:

a. mean
b. median
c. mode
d. standard deviation
e. all of the above

6. Sums of squares is a measure of:
a. dispersion
b. central tendency
c. covariance
d. interpolation
e. extrapolation

 

7. From one standard deviation above and below the mean accounts for what percent of the scores:
a. 17%
b. 25%
c. 34%
d. 68%
e. 95%

8. Which of the following is the square root of variance:
a. mean
b. median
c. mode
d. mean variance
e. standard deviation

9. To calculate the variance of a population, Sums of Squares is divided by:
a. N
b. N-1
c. N-2
d. N-3
e. mean

10. When looking for a homogeneous group of people, we should choose the one with:
a. the largest mean
b. the smallest mean
c. the largest standard deviation
d. the smallest standard deviation
e. the mode in the middle

11. A score of 50 on a test with a mean of 55 would be considered quite unusual if the standard deviation was:
a. 1
b. 5
c. 10
d. 20
e. none of the

 

12. A test which only orders traits in magnitude is best described as:

• cardinal
• interval
• nominal
• ratio
• ordinal

13. An item which asks people to rate something from 1 to 5 (5 being high) is on what level of measurement:

• cardinal
• interval
• nominal
• ratio
• ordinal

14. The more samples taken, the more normal the curve looks, according to the:

critical-limit hypothesis

null-limit hypothesis

maximum-limit theorem

unbiased-limit theorem

central-limit theorem

15. A cumulative frequency divided by N (times 100) equals:

proportion

percent

percentile

preponderance

posthumous

16. Which of the following is an example of a grouped frequency distribution:

data matrix

correlation

regression

histogram

t-test

17. The number of obstacles a horse jumps over would be a(n) ___________ measurement.

cardinal

interval

nominal

ratio

 

18. A z-score of +2 on a test with a mean of 100 and a standard deviation of 10 would equal a score of:

80

95

100

102

120

19. Which of the following is calculated by subtracting the mean from the score and dividing by the standard deviation:

intelligence quotient

z-score

t score

stanine

percentile

20.What percentage of scores are between a z-score of -1.3 and a z of +1.65:

52%

64%

68%

72%

86%

21. A z-score of -1 on a test with a mean of 90 and a standard deviation of 10 would equal a score of:

80

95

100

102

120

 

 

 

5

 

Which of the following correlation coefficients shows the greatest amount of relationship:

.23

.45

.56

.71

-.89

 

The angle of a regression line is called:

intercept

intersect

slope

shift

the point where X and Y meet

Scores which are projected beyond their samples are said to be:

interpolated

extrapolated

innovated

interpreted

insubstantiated

Scores which predict between samples are said to be:

interpolated

extrapolated

innovated

interpreted

insubstantiated

Covariance divided by the product of the standard deviations of X and Y equals:

correlation

intercept

slope

criterion

linkage

The standard error of estimate is best understood as:

Sums of Squares

variance

standard deviation

mean

median

As a director of marketing, you are interested in how well your sales did over the year. In particular, you are curious whether last year’s revenue is a good predictor of this year’s. Since you are interested in how well one test acts as a linear predictor of another, which of the following tests should you perform:

t-test

ANOVA

correlation

regression

multiple regression

6

Which of the following do we select, manipulate, impose or induce:

independent variable

dependent variable

moderator variable

suppressor variable

intervening variable

Which of the following do we measure, observe or record:

independent variable

dependent variable

moderator variable

suppressor variable

intervening variable

A factor whose levels are described as “high” and “low” is:

valid

reliable

discrete

logarithmic

continuous

 

Which of the following is a graphic description of scores:

sample

percent

percentile

population analysis

frequency distribution

A selected part of a larger group is called a:

sample

percent

percentile

population analysis

frequency distribution

 

7

 

A null hypothesis says that two means are:

significantly different

slight different

not significantly different

maybe different

you have hit the null on the head

A t-test compares:

two medians

two modes

two means

two variables

two standard deviations

 

Rejecting the null when you should have accepted it is a:

Type I error

Type II error

Type III error

Typo error

Not My Type error

 

When the null hypothesis is true, the expected value for an independent measures t statistic is:

0

+1.0

-1.0

+1 or -1

none of the above

 

 

 

If the probability of being hit by lightning is .3 (it’s a very stormy night), and the probability of eating chocolate ice cream is .5, what is the probability of eating ice cream AND being hit by lightning?

.3

.5

.8

.15

.25

In the simplest case, the probability of either A or B occurring is calculated by:

adding the probabilities

subtracting the probabilities

multiplying the probabilities

dividing the probabilities

both A and C

If the alpha level is set at .05, the probability of making a Type I error is:

.01

.02

.05

.10

.20

The probability of passing this test item is:

o

p

q

r

extremely unlikely

A nondirectional test of significance is said to be:

no-tailed

one-tailed

two-tailed

three-tailed

four-tailed

An independent measures experiment uses two samples with n = 8 in each group to compare two experimental treatments. The t statistic from this experiment will have degrees of freedom equal to:

7

8

14

15

16

The advantage of a repeated measures design is that it reduces the contribution of error variability due to:

mean of D

degrees of freedom

the effect of the treatment

individual differences

none of the above

 

 

9

consistent measurement is:

reliable

discrete

continuous

valid

logarithmic

An independent t-test assumes that:

subjects are randomly assigned

subjects are from different populations

two independent variables are equal

the null hypothesis is true

none of the above

A correlation assumes that:

subjects are randomly assigned

subjects are from different populations

two independent variables are equal

sample size is small

none of the above

 

 

In a

 

How many dependent variables are used in a t-test:

4

3

2

1

 

10

Which of the following has multiple predictors and a single outcome measure (criterion)
a.
b. independent t-test
c. multiple regression
d. regression
e. correlation

2. Which of the following shows the interaction of 2 independent variables:
a. regression
b. one-way ANOVA
c. t-test
d. factorial ANOVA
e. all of the above

3. In a 2x3x4 factorial design, how many independent variables are there:
a. 1
b. 3
c. 6
d. 9
e. 24

4. How many dependent variables are in a 3×3 factorial ANOVA design:
a. 1
b. 2
c. 3
d. 6
e. 9

 

7. In a factorial ANOVA, degrees of freedom for SStotal equals:
a. N
b. N minus 1
c. k
d. k minus 1
e. N minus k

8. Which of the following has multiple predictors and multiple criteria:
a. multivariate analysis
b. independent t-test
c. multiple regression
d. regression
e. correlation

a.

Calculations

Simulations

As a clinic director you are interested in whether the age of the client can be used to predict the number of counseling sessions clients attend.

                        Age                 Sessions

                          22                       13

                            6                         5

                          14                         9

                          18                         6

                          33                         2

            What is the SS for Age: ________

            What is the population variance of Age:_______

            What is the range of Sessions: _______

            What is the SS for Sessions: ________

            What is the SSxy: ________

Since you are interested in using one variable as a linear predictor of another, which of the following tests should you perform:

1. multiple regression
2. regression
3. correlation
4. t-test
5. ANOVA

Perform the comparison you selected in the item above. What was the result of your calculation (select only the appropriate ones):

            a =

            b =

            r =

            t =

            F =

If client age was 6, what do you predict Revenue to be?

1. As a clinic director, you randomly assign patients to individual or group therapy. The numbers in the columns below are the number of sessions needed to “cure” the patients.

                           Group           Individual

                          10                         7

                            5                         4

                          10                         7

                            9                         1

                          14                         7

                            7                         6

                            2                         3

      What is the median for Group:   __________

      What is the mean for Group:        __________

      What is the mode for Individual:              __________

      List the independent variable(s) in this study:

      List the dependent variable(s) in this study:

Since you are interested in how different these independent groups perform, which of the following tests should you perform:

1. multiple regression
2. regression
3. correlation
4. t-test
5. ANOVA

Perform the comparison you selected in the item above. What was the result of your calculation (select only the appropriate ones):

               a =

               b =

               r =

               t =

               F =

What is the appropriate critical value at .05 (2 tailed)?

Was there a significant difference between the 2 groups?

Which method should be used in the future?

III. As a clinic director, you wonder if you if your clinic’s personality test is reliable. Here are the scores on test-retest.

                        Test                 Re-test

                          11                       14

                            6                         7

                            8                       10

                            5                         6

                            2                         1

                            2                         9

                            2                         2

What is the sum of Test:                   _______

What is the SS of Test:                     _______

What is the sum of Re-Test:             _______

What is the SS of Re-Test:                _______

What is the SSxy:                             _______

Since you are interested in communality, which of the following tests should you perform:

1. multiple regression
2. regression
3. correlation
4. t-test
5. ANOVA

Perform the comparison you selected in the item above. What was the result of your calculation (select only the appropriate ones):

               a =

               b =

               r =

               t =

               F =

What is the critical value for this statistic?

Is there a significant relationship between these variables at the .05 alpha level?

Calculate the coefficient of determination: ________

1. As a clinic director, you randomly assign new patients to 4 therapists and measure the amount of revenue each generates.

                        Ralph               Wanda             Sigmund            Alfred

                          17                       10                      5                         6

                          10                       13                      4                         1

                            6                         2                      7                         5

                            9                         6                      7                         4

                            8                         4                      7                         4

What is(are) the independent variable(s):

What is(are) the dependent variable(s):

Based on above data, complete the following summary table:

                       SS        df               ms

      Between ____        ____          ____

      Within    ____        ____          ____

      TOTAL ____

What is the F for this test: ___________

What is the critical value for this statistic: _______

Is F significant at .05 alpha: ________

Which of the following should be conducted next:

1. t-tests
2. correlations
3. regressions
4. ANOVAs
5. none of the above

1. You own a construction company and want to know the data fits your model. In particular, you want to know if self-confidence has a significant impact on job satisfaction.

What is the predictor in this study:

What is the criterion in this study:

Since you are interested in testing goodness of fit, which of the following tests should you perform:

1. t-test
2. correlation
3. MANOVA
4. multiple regression
5. analysis of regression

Use the following data to complete the summary table:

    r =  .44

    SSx = 22

    SSy = 17

    N = 15

                       SS        df               ms

      Between ____        ____          ____

      Within    ____        ____          ____

      TOTAL ____

What is the F for this test: ___________

What is the critical value for F: ___________

Is F significant at .05 alpha: ___________

What is your conclusion:

 

 

 

 

*****

 

As a clinic director you are interested in whether the age of the client can be used to predict the number of counseling sessions clients attend.

Age                  Sessions 22                       13   6                         5 14                         9 18                         6 33                         2            What is the SS for Age: 399.20            What is the population variance of Age:79.84            What is the range of Sessions: 11            What is the SS for Sessions: 70            What is the SSxy: – 35    Since you are interested in using one variable as a linear predictor of another, which of the following tests should you perform:            b. regression    Perform the comparison you selected in the item above. What was the result of your calculation (select only the appropriate ones):            a =   8.63            b = – .09    If client age was 6, what do you predict Revenue to be? 8.10

1. As a clinic director, you randomly assign patients to individual or group therapy. The numbers in the columns below are the number of sessions needed to “cure” the patients.

Group           Individual    10                         7      5                         4    10                         7      9                         1    14                         7      7                         6      2                         3      What is the median for Group:       9      What is the mean for Group:           8.14
The mean for Individual was 5.00      What is the mode for Individual:      7      List the independent variable(s) in this study:  Therapy      List the dependent variable(s) in this study:  # sessions      Since you are interested in how different these independent groups perform, which of the following tests should you perform:      d. t-test    Perform the comparison you selected in the item above. What was the result of your calculation (select only the appropriate ones):               t = 1.82    What is the appropriate critical value at .05 (2 tailed)?  2.18 at 10 degrees of freedom    Was there a significant difference between the 2 groups? No    Which method should be used in the future? Either; the differences between them are likely to be due to chance.

III. As a clinic director, you wonder if you if your clinic’s personality test is reliable. Here are the scores on test-retest.

  Test                 Re-test    11                       14      6                         7      8                       10      5                         6      2                         1      2                         9      2                         2    What is the sum of Test:                      36    What is the SS of Test:                       72.86    What is the sum of Re-Test:                49    What is the SS of Re-Test:               124    What is the SSxy:                               78    Since you are interested in communality, which of the following tests should you perform:c. correlation    Perform the comparison you selected in the item above. What was the result of your calculation (select only the appropriate ones):               r =   .82    What is the critical value for this statistic? .755 at 5 degrees of freedom    Is there a significant relationship between these variables at the .05 alpha level? Yes    Calculate the coefficient of determination: .67

1. As a clinic director, you randomly assign new patients to 4 therapists and measure the amount of revenue each generates.

Ralph               Wanda             Sigmund             Alfred                         17                       10                      5                         6                         10                       13                      4                         1                           6                         2                      7                         5                           9                         6                      7                         4                           8                         4                      7                         4

TOTALS

SumX          50                     35                    30                       20                            135          XSqr        570                    325                  188                       94                         1177          n                  5                        5                      5                         5                              20          SS             70                      80                      8                        14                            172     What is(are) the independent variable(s): Therapists    What is(are) the dependent variable(s):  $ of revenue    Based on above data, complete the following summary table:                       SS        df               ms      Between   93.75        3          31.25      Within     172          16          10.75      TOTAL  265.75     19           What is the F for this test: 2.91    What is the critical value for this statistic: 3.24    Is F significant at .05 alpha: No    Which of the following should be conducted next:a. t-testsb. correlationsc. regressionsd. ANOVAs e. none of the above

1. You own a construction company and want to know the data fits your model. In particular, you want to know if self-confidence has a significant impact on job satisfaction.

What is the predictor in this study: Self-confidence    What is the criterion in this study:  Job satisfaction    Since you are interested in testing goodness of fit, which of the following tests should you perform:     e. analysis of regressionUse the following data to complete the summary table:    r =  .44    SSx = 22    SSy = 17    N = 15                       SS        df               ms      Between    3.29       1          3.29      Within      13.71     13          1.05      TOTAL   17 .00    14          What is the F for this test:    3.12    What is the critical value for F: 4.67    Is F significant at .05 alpha:    No    What is your conclusion:   Self-confidence does not have a significant impact on job satisfaction. The data does not have a “goodness of fit” to the model of a straight line.

Put answers here

 

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