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stat_assignment.docx
STAT225: Introduction to Statistics in the Behavioral Sciences
1. In a school election, five people run for student body president. The actual number of votes for each candidate would be a(n) variable. If the total number of votes were removed and the candidates were listed in order of least to most popular, this would be a(n)
variable.
a. ratio; ordinal b. ordinal; ratio c. ratio; nominal
d. nominal; ordinal
2. A researcher was interested in the effects of gender on attitudes toward women in leadership positions. The researcher surveyed a group of individuals, 12 of whom were men and 12 of whom were women. In this example, what is the explanatory/independent variable?
a. type of leadership position b. the 12 women in the study
c. the gender of the participants
d. the participants' attitudes toward women in leadership positions
3. A researcher was interested in the effects of gender on attitudes toward women in leadership positions. The researcher surveyed a group of individuals, 12 of whom were men and 12 of whom were women. In this example, what is the response/dependent variable?
a. type of leadership position b. the 12 women in the study
c. the gender of the participants
d. the participants' attitudes toward women in leadership positions
Please use the following information to answer questions 4 through 9
An industrial psychologist at a company has heard that desk bikes could help employees to lose weight, increase their stamina, and improve productivity. Sixteen employees were provided with desk bikes and the total number of pounds they lost, after one month, was recorded. Here are the data, in pounds lost, per employee:
|
4 |
8 |
12 |
0 |
2 |
20 |
18 |
0 |
12 |
6 |
12 |
16 |
10 |
8 |
12 |
4 |
4. What is the range of this distribution?
a. 0 t o 20 b. 20
c. 18 d. 4
5. What is the mean number of pounds that were lost by the employees in one month?
|
a. |
9.88 |
|
b. |
10.4 |
|
c. |
12 |
|
d. |
9 |
6. What is the median number of pounds that were lost by the employees in one month?
|
a. |
8 |
|
b. |
9 |
|
c. |
10 |
|
d. |
11 |
7. What is the variance of the number of pounds that were lost by the employees in one month?
|
a. |
37.33 |
|
b. |
9.72 |
|
c. |
9.85 |
|
d. |
6.11 |
8. What is the Interquartile range for this distribution?
|
a. |
4 |
|
b. |
8 |
|
c. |
9 |
|
d. |
12 |
9. How many outliers are in this distribution?
a. 0 b. 1
c. 2
d. Unable to determine from this information
The following graph depicts the typical relationship found between physiological arousal (anxiety) levels (e.g., range from 0 = no anxiety to 10=extreme anxiety) and test performance (e.g., percentage of correct answers on test).
Please use the following information to answer questions 10 and 11.
100%
Test Performance (in Percentage)
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
Relationship Between Physiological Arousal Level and Test
Performance
0 2 4 6 8 10
Physiological Arousal Level
10. Based on this graph, what type of relation exists between physiological arousal level and test performance?
a. There is no relation between age and reaction time b. Linear
c. Curvilinear
d. It is not possible to tell, given the information in the graph.
11. Which of the following best captures what the graph (Physiological Arousal Level and Test
Performance) depicts?
a. There is no relation between physiological arousal level and test performance.
b. There is a linear relation between physiological arousal level and test performance, such that test performance increases with increased physiological arousal level.
c. There is a linear relation between physiological arousal level and test performance, such that test performance decreases with increased physiological arousal level.
d. Test performance increases as physiological arousal level increases, becoming its
best at a moderate arousal level, but after that point, test performance decreases as physiological arousal levels increase.
A psychologist was interested in seeing if she could predict a person’s level of depression, based on his or her self-esteem. “Depression" was assessed using a standardized depression inventory; the higher the score on the depression measure, the more depressive symptoms the person was experiencing. “Self-Esteem" was assessed using a standardized self-esteem measure; the higher the score on the self-esteem measure, the higher the person’s reported level of self-esteem. This table shows the results for the 10 participants.
Relationship Between Self-Esteem Scores and Depression
Scores
Please use the following information to answer questions 12 and 13.
5
4.75
4.5
Self-Esteem Scores
4.25
4
3.75
3.5
3.25
3
2.75
2.5
2.25
2
0 10 20 30 40
Depression Scores
12. Based on the information presented in the scatterplot, what is the most likely correlation between depression scores and self-esteem scores?
a. +.76 b. -.76 c. +.23 d. -.23
|
Self-Esteem Scores |
Depression Scores |
|
Mean 3.43 15.78 |
|
|
Standard Deviation 0.75 10.34 |
13. The above chart contains the means and standard deviations for self-esteem scores and depression scores. Using this information and the most likely correlation coefficient obtained in Question 12, what is the regression equation for this data?
a. y = -51.72-10.48x b. y= -21.45 -1.65x c. y = 51.72-10.48x d. y= 21.45 -1.65x
14. A nutritionist was interested in determining the smoking status of her clients. She asked each of her clients to report his or her current smoking status: Smoker, Ex-Smoker, and Non-Smoker. Which of the following graphical techniques is the best way for her to represent the data?
a. pie chart
b. scatterplot c. histogram d. stemplot
15. A car dealership has collected the ages, in years, of all its first time customers. The best way to graph this data would be using a .
a. scatterplot b. histogram c. pie chart
d. pictogram
16. When recruiting a sample of individuals to participate in a study on reaction time, researchers used the most recent census to identify local older adults, who were
between the ages of 60 and 65, between 65 and 70, between 70 and 75, between 75 and
80, and between 80 and 85. Once they had identified these subgroups, the researchers randomly selected 20 people from within each age group to participate in the study. What kind of sampling method did the researchers use?
a. convenience sampling
b. random sampling
c. stratified sampling
d. cluster sampling
17. Restaurant diners, who post reviews of restaurants they have dined at, on
OpenTable.com, constitute what type of sample?
a. cluster sample
b. volunteer sample c. random sample
d. convenience sample
Please use the following information and histogram to answer questions 18, 19, and 20.
Business Magazine graphed the ages of the Chief Executive Officers (CEOs) of 48 large companies.
18. What is the shape of this distribution?
a. symmetric - uniform b. skewed right
c. skewed left
d. symmetric - bimodal
19. What percentage of CEOs are under the age of 30?
|
a. |
6% |
|
b. |
3% |
|
c. |
2% |
|
d. |
4% |
20. Which of the following is true about the distribution?
a. The median will be larger than the mean
b. The median will be smaller than the mean
c. The median and mean will be about the same d. Unable to tell from the information provided
a. What is the z score for Indiana University?
b. What is the z score for the University of Evansville?
c. Which school was more expensive to attend in 1995, relative to the cost of education in its own category?
d. What is the probability of a private university costing less than $11,800? (Hint: Use the mean and standard deviation values for all private schools to answer this question.)
e. What is the probability of a public university costing less than $2,984? (Hint: Use the mean and standard deviation values for all public schools to answer this question.)
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STAT225: Introduction to Statistics in the Behavioral Sciences
1. In a school election, five people run for student body president. The actual number of votes
for each candidate would be a(n) variable. If the total number of votes were
removed and the candidates were listed in order of least to most popular, this would be a(n)
variable.
a. ratio; ordinal
b. ordinal; ratio
c. ratio; nominal
d. nominal; ordinal
2. A researcher was interested in the effects of gender on attitudes toward women in leadership
positions. The researcher surveyed a group of individuals, 12 of whom were men and 12 of
whom were women. In this example, what is the explanatory/independent variable?
a. type of leadership position
b. the 12 women in the study
c. the gender of the participants
d. the participants' attitudes toward women in leadership positions
3. A researcher was interested in the effects of gender on attitudes toward women in leadership
positions. The researcher surveyed a group of individuals, 12 of whom were men and 12 of
whom were women. In this example, what is the response/dependent variable?
a. type of leadership position
b. the 12 women in the study
c. the gender of the participants
d. the participants' attitudes toward women in leadership positions
