Posted: September 18th, 2017

Statistics

Quiz 3 Summer Semester SY14/15

Question

1

Marks: 3

Imagine I flipped a coin 8 times.  From the binomial table, I learned that the probability of getting 7 heads out of 8 flips is .0313 and the probability of getting 8 heads out of 8 flips is .0039.  Using this information, please match the following descriptions with the appropriate answer.

What is the probability of getting 7 heads or higher in 8 flips?	Choose…	.0313/.0039	.0313 + .0039	.03132 + .00392	0.50	(.0313)(.0039)
What is the probability of getting a heads on the first flip?	Choose…	.0313/.0039	.0313 + .0039	.03132 + .00392	0.50	(.0313)(.0039)
What is the probability of getting 7 heads out of 8 flips and getting 8 heads out of another 8 flips?	Choose…	.0313/.0039	.0313 + .0039	.03132 + .00392	0.50	(.0313)(.0039)

Question

2

Marks: 1

 

 

For this problem and other problems in this quiz, rely on the following information.  Szalacha, Erkut, Coll, Alarcon, Fields, and Ceder in 2003 investigated the research hypothesis that Puerto Rican children in the US who report or perceive discrimination will have more mental health problems and higher school-related stress than Puerto Rican children who do not perceive discrimination. The researchers presented the table below with scores on the Reynolds Child Depression Scale (RCDS).

 

 

	Perceived Discrimination
	Yes (n = 36)		No (n = 255)
Variable	m	SD	m	SD	t (289)
RCDS	1.90	0.51	1.71	0.44	2.39*

Note: *p < .05

 

 

 

Szalcha, L.A., Coll, C.G., Alarcon, O., Fields, J.P.,& Ceder, I. (2003).  Discrimination and Puerto Rican childrens’ and adolescents’ mental health.  Cultural Diversity and Ethnic Minority Psychology, 9(2), 141-155.

 

 

 

 

Which of the following formulas would be used to construct the 95% confidence interval for these data?

 

 

Choose one answer.

	1.90 plus and minus (standard error of the mean)(t critical value)
	.19 plus and minus (standard error of mean differences)(t critical value)
	0 plus and minus (standard error mean differences)(t critical value)
	population mean plus and minus population variance

Question

3

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

If we were able to increase the sample size in this study to 103, what would happen to the computed F value used to quiz the null hypothesis?

Choose one answer.

	increase
	remain the same
	decrease

Question

4

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

What is the MS(error) for this ANOVA summary table? (The answer must be written as a number with no decimal places. Write the final answer only; do not write the formula or computations used to derive the answer. Do not write the answer as a percentage.)

Answer:

 

 

Question

5

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing.  To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

Based on the results in the ANOVA summary table, the researchers would decide to reject the null hypothesis.

Answer:

True

False

 

Question

6

Marks: 1

 

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

 

 

If we were able to increase the sample size in this study to 103 what would happen to the critical value used to quiz the null hypothesis?

Choose one answer.

	increase
	decrease
	remain the same

Question

7

Marks: 1

 

For this problem and other problems in this quiz, rely on the following information.  Szalacha, Erkut, Coll, Alarcon, Fields, and Ceder in 2003 investigated the research hypothesis that Puerto Rican children in the US who report or perceive discrimination will have more mental health problems and higher school-related stress than Puerto Rican children who do not perceive discrimination. The researchers presented the table below with scores on the Reynolds Child Depression Scale (RCDS).

 

 

	Perceived Discrimination
	Yes (n = 36)		No (n = 255)
Variable	m	SD	m	SD	t (289)
RCDS	1.90	0.51	1.71	0.44	2.39*

Note: *p < .05

 

 

 

Szalcha, L.A., Coll, C.G., Alarcon, O., Fields, J.P.,& Ceder, I. (2003).  Discrimination and Puerto Rican childrens’ and adolescents’ mental health.  Cultural Diversity and Ethnic Minority Psychology, 9(2), 141-155.

 

 

 

 

Based on the findings reported in the table, the researchers would elect to retain the null hypothesis.

Answer:

True

False

 

Question

8

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

What is the F statistic in this ANOVA summary table?  (The answer must be written as a number carried to two decimal places.  Write the final answer only; do not write the formula or computations used to derive the answer.  Do not write the answer as a percentage.)

Answer:

 

 

Question

9

Marks: 1

 

 

For this problem and other problems in this quiz, rely on the following information.  Szalacha, Erkut, Coll, Alarcon, Fields, and Ceder in 2003 investigated the research hypothesis that Puerto Rican children in the US who report or perceive discrimination will have more mental health problems and higher school-related stress than Puerto Rican children who do not perceive discrimination. The researchers presented the table below with scores on the Reynolds Child Depression Scale (RCDS).

 

 

	Perceived Discrimination
	Yes (n = 36)		No (n = 255)
Variable	m	SD	m	SD	t (289)
RCDS	1.90	0.51	1.71	0.44	2.39*

Note: *p < .05

 

 

 

Szalcha, L.A., Coll, C.G., Alarcon, O., Fields, J.P.,& Ceder, I. (2003).  Discrimination and Puerto Rican childrens’ and adolescents’ mental health.  Cultural Diversity and Ethnic Minority Psychology, 9(2), 141-155.

 

 

 

 

Which of the following would occur if researchers in this problem accepted the null hypothesis for these data only to have other researchers repeatedly reject the null hypothesis when they did similar studies?

Choose one answer.

	Type I error
	Type II error
	power of a quiz
	confidence interval

Question

10

Marks: 6

Please match the following terms with the appropriate description.

 

 

 

Distribution of sample statistics based on infinite sampling.

Choose…

parameter

standard deviation

range

sampling distribution

variance

confidence interval

standard error

quartile

frequency distribution

The average distance a sample statistic can be expected to fall from its population value.

Choose…

parameter

standard deviation

range

sampling distribution

variance

confidence interval

standard error

quartile

frequency distribution

Based on a sample statistic, a range of scores likely to contain the population parameter.

Choose…

parameter

standard deviation

range

sampling distribution

variance

confidence interval

standard error

quartile

frequency distribution

The mean of the sum of squares.

Choose…

parameter

standard deviation

range

sampling distribution

variance

confidence interval

standard error

quartile

frequency distribution

The average distance scores fall from the mean.

Choose…

parameter

standard deviation

range

sampling distribution

variance

confidence interval

standard error

quartile

frequency distribution

Range of scores in a distribution that includes 25% of the cases.

Choose…

parameter

standard deviation

range

sampling distribution

variance

confidence interval

standard error

quartile

frequency distribution

Question

11

Marks: 1

In a two independent samples t quiz, which of the following describe the appropriate interpretation when p < .05?

 

 

 

Choose one answer.

	chance is less than 5 in 100 that the means are drawn from the same population
	if the experiment is conducted 100 times we would expect contrary findings in fewer than 5 of those experiments
	one mean is higher than another
	all these answers are correct

Question

12

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

 

If we were able to increase the sample size to 103 in this study, what would happen to the power of the quiz of the null hypotheis?

Choose one answer.

	decrease
	increase
	remain the same

Question

13

Marks: 1

 

 

For this problem, and other problems on this quiz, use the following hypothetical information:

Researchers suspected there was a relationship between locus of control and medical compliance for adults suffering from Type II diabetes. They selected a sample of 100 patients suffering from diabetes and found that 55 had external locus of control and that 45 had internal locus of control. They then counted how many patients were compliant (yes or no) with their medication regime.

 

 

 

What statistical quiz would be used to quiz the null hypothesis in this study?

Choose one answer.

	t quiz for independent samples
	t quiz for correlation
	F quiz
	chi-square

Question

14

Marks: 1

 

 

For this problem and other problems in this quiz, rely on the following information.  Szalacha, Erkut, Coll, Alarcon, Fields, and Ceder in 2003 investigated the research hypothesis that Puerto Rican children in the US who report or perceive discrimination will have more mental health problems and higher school-related stress than Puerto Rican children who do not perceive discrimination. The researchers presented the table below with scores on the Reynolds Child Depression Scale (RCDS).

 

 

	Perceived Discrimination
	Yes (n = 36)		No (n = 255)
Variable	m	SD	m	SD	t (289)
RCDS	1.90	0.51	1.71	0.44	2.39*

Note: *p < .05

 

 

 

Szalcha, L.A., Coll, C.G., Alarcon, O., Fields, J.P.,& Ceder, I. (2003).  Discrimination and Puerto Rican childrens’ and adolescents’ mental health.  Cultural Diversity and Ethnic Minority Psychology, 9(2), 141-155.

 

 

 

 

 

Which of the following is the independent variable (IV) in this study?

Choose one answer.

	scores on RCDS
	ethnicity with 3 levels
	perceived discrimination with two levels
	scored on school related stress

Question

15

Marks: 1

Which of the following is a statistically significant finding (i.e., the null hypothesis is rejected) for a two independent samples t quiz when N = 20?

Choose one answer.

	95% confidence interval = 4.50, 9.50
	t = 1.80
	p > .05
	all these answers are correct

Question

16

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

What was the critical value used to quiz the null hypothesis? (The answer must be written as a number carried to two decimal places.  Write the final answer only; do not write the formula or computations used to derive the answer.  Do not write the answer as a percentage.)

Answer:

 

 

Question

17

Marks: 1

For this problem, and other problems in this quiz, use the following hypothetical situation:

 

Researchers hypothesized that young adults would report a reduction in consumption of doughnuts after attending a psycho-educational intervention during which there is a discussion of a suspected link between the use of sugar, stress, and depression. Researchers selected a sample of 30 students and measured the number of doughnuts they ate in the week before the class and the number of doughnuts the same group ate in the week after the class.

 

 

 

Which of the following would be the appropriate numerator (estimate of treatment effect) for the formula best suited to analyze these data?

Choose one answer.

	(mean of group 1) – (mean of group 2)
	mean of participant difference scores
	correlation coefficient
	(sample mean) – (population mean)

Question

18

Marks: 1

A software firm is eager to attract new workers to their company. The company is like most; most workers earn modest salaries and a few earn very high salaries. Which measure of central tendency of the income will be most attractive to an applicant?

 

 

 

 

 

 

 

 

 

 

 

 

 

Choose one answer.

	mean
	median
	mode
	variance

Question

19

Marks: 1

 

For this problem, and other problems in this quiz, use the following hypothetical situation:

 

Researchers hypothesized that young adults would report a reduction in consumption of doughnuts after attending a psycho-educational intervention during which there is a discussion of a suspected link between the use of sugar, stress, and depression. Researchers selected a sample of 30 students and measured the number of doughnuts they ate in the week before the class and the number of doughnuts the same group ate in the week after the class.

 

 

 

 

 

 

 

Which of the following is not true of the IV in this study?

 

 

 

 

Choose one answer.

	between subjects
	within subjects
	subjects act as their own control
	subjects appear in every level of the IV

Question

20

Marks: 1

 

For this problem, and other problems on this quiz, use these data which are abstracted from a study investigating the relationship between attachment and anger regulation among Korean-American male batterers, N = 43 (Kim & Zane, 2004).

 

 

 

Variable	1	2	3	4	5
Physical violence
Anger experience	0.21
Anger expression	.40*	.57*
Anger control	-0.12	-0.06	-0.09
Anxious attachment	.42*	.35*	.44*	0.07
Avoidant attachment	-0.11	-.36*	-0.20	-0.33	-0.23

Note: * = p < .05

 

Kim, I.J. & Zane, N.W. (2004).  Ethnic and cultural variations in anger regulation and attachment patters among Korean American and European American male batterers.Cultural Diversity and Ethnic Minority Psychology, 10(2), 151-168.

 

Which of the following was the null hypothesis for the quiz of the relationship between anxious attachment and physical violence?

Choose one answer.

	ρ = 0 (rho = 0)
	μ1 = μ2
	r = μ
	none of these answers are correct

Question

21

Marks: 1

For this problem and other problems in this quiz, rely on the following information.  Szalacha, Erkut, Coll, Alarcon, Fields, and Ceder in 2003 investigated the research hypothesis that Puerto Rican children in the US who report or perceive discrimination will have more mental health problems and higher school-related stress than Puerto Rican children who do not perceive discrimination. The researchers presented the table below with scores on the Reynolds Child Depression Scale (RCDS).

 

 

	Perceived Discrimination
	Yes (n = 36)		No (n = 255)
Variable	m	SD	m	SD	t (289)
RCDS	1.90	0.51	1.71	0.44	2.39*

Note: *p < .05

 

 

 

Szalcha, L.A., Coll, C.G., Alarcon, O., Fields, J.P.,& Ceder, I. (2003).  Discrimination and Puerto Rican childrens’ and adolescents’ mental health.  Cultural Diversity and Ethnic Minority Psychology, 9(2), 141-155.

 

What type of t quiz was used to analyze these data ?

Choose one answer.

	t quiz for the Pearson correlation coefficient
	two independent samples t quiz
	dependent samples t quiz
	one sample t quiz

Question

22

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

What is df(error) in this ANOVA summary table? (The answer must be written as a number with no decimal places. Write the final answer only; do not write the formula or computations used to derive the answer. Do not write the answer as a percentage.)

 

 

Answer:

 

 

Question

23

Marks: 1

Which of the following indicates that the sampling distribution of the mean approaches normality when N increases?

Choose one answer.

	Central Limit Theorem
	Variance law
	the computation of the standard error
	none of these answers are correct

Question

24

Marks: 1

For this problem, and other problems in this quiz, consider the following situation: Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

 

 

 

 

Source	df	SS	MS	F
Treatment	2	?	1100	?
Error	?	2700	?
Total	32	4900

What is SS(treatment) in this ANOVA summary table? (The answer must be written as a number with no decimal places. Write the final answer only; do not write the formula or computations used to derive the answer. Do not write the answer as a percentage.)

Answer:

 

 

Question

25

Marks: 1

For this problem, and other problems on this quiz, use the following hypothetical information:

Researchers suspected there was a relationship between locus of control and medical compliance for adults suffering from Type II diabetes. They selected a sample of 100 patients suffering from diabetes and found that 55 had external locus of control and that 45 had internal locus of control. They then counted how many patients were compliant (yes or no) with their medication regime.

 

What is the critical value used to quiz this hypothesis? (The answer must be written as a number carried to two decimal places.  Write the final answer only; do not write the formula or computations used to derive the answer.  Do not write the answer as a percentage.)

 

 

 

Answer:

 

 

Question

26

Marks: 1

For this problem, and other problems on this quiz, use these data which are abstracted from a study investigating the relationship between attachment and anger regulation among Korean-American male batterers, N = 43 (Kim & Zane, 2004).

 

 

 

Variable	1	2	3	4	5
Physical violence
Anger experience	0.21
Anger expression	.40*	.57*
Anger control	-0.12	-0.06	-0.09
Anxious attachment	.42*	.35*	.44*	0.07
Avoidant attachment	-0.11	-.36*	-0.20	-0.33	-0.23

Note: * = p < .05

 

Kim, I.J. & Zane, N.W. (2004).  Ethnic and cultural variations in anger regulation and attachment patters among Korean American and European American male batterers. Cultural Diversity and Ethnic Minority Psychology, 10(2), 151-168.

 

What is the proportion of variance in anger expression predicted by scores on physical violence? (The answer must be written as a number carried to two decimal places.  Write the final answer only; do not write the formula or computations used to derive the answer.  Do not write the answer as a percentage.)

 

Answer:

 

 

Question

27

Marks: 1

 

For this problem, and other problems in this quiz, use the following hypothetical situation:

 

Researchers hypothesized that young adults would report a reduction in consumption of doughnuts after attending a psycho-educational intervention during which there is a discussion of a suspected link between the use of sugar, stress, and depression. Researchers selected a sample of 30 students and measured the number of doughnuts they ate in the week before the class and the number of doughnuts the same group ate in the week after the class.

 

What is the critical value used to quiz the null hypothesis? (This answer must be written as a number carried to three decimal places.  Write the final answer only; do not write the formula or computations used to derive the answer.  Do not write a + or – value in front of the answer.)

 

Answer:

 

 

Question

28

Marks: 1

 

 

For this problem, and other problems on this quiz, use these data which are abstracted from a study investigating the relationship between attachment and anger regulation among Korean-American male batterers, N = 43 (Kim & Zane, 2004).

 

 

 

Variable	1	2	3	4	5
Physical violence
Anger experience	0.21
Anger expression	.40*	.57*
Anger control	-0.12	-0.06	-0.09
Anxious attachment	.42*	.35*	.44*	0.07
Avoidant attachment	-0.11	-.36*	-0.20	-0.33	-0.23

Note: * = p < .05

 

Kim, I.J. & Zane, N.W. (2004).  Ethnic and cultural variations in anger regulation and attachment patters among Korean American and European American male batterers.Cultural Diversity and Ethnic Minority Psychology, 10(2), 151-168.

 

 

 

 

 

 

Which of the following describe the general trend of the scores for the relationship between anger expression and anger experience?

Choose one answer.

	positive z scores on one variable tend to be paired with negative z scores on the other variable
	positive z scores on one variable tend to be paired with positive z scores on the other variable
	none of these answers are correct
	positive z scores on one variable are just as likely to be paired with positive z scores as with negative z scores

Question

29

Marks: 1

 

 

For this problem, and other problems on this quiz, use these data which are abstracted from a study investigating the relationship between attachment and anger regulation among Korean-American male batterers, N = 43 (Kim & Zane, 2004).

 

 

 

Variable	1	2	3	4	5
Physical violence
Anger experience	0.21
Anger expression	.40*	.57*
Anger control	-0.12	-0.06	-0.09
Anxious attachment	.42*	.35*	.44*	0.07
Avoidant attachment	-0.11	-.36*	-0.20	-0.33	-0.23

Note: * = p < .05

 

Kim, I.J. & Zane, N.W. (2004).  Ethnic and cultural variations in anger regulation and attachment patters among Korean American and European American male batterers.Cultural Diversity and Ethnic Minority Psychology, 10(2), 151-168.

 

 

 

 

 

 

 

 

 

 

The researchers rejected the null hypothesis concerning the relationship between anxious attachment and physical violence.

Answer:

True

False