Question 2

To compare the average age of male and female offenders, a researcher selected 21 males and 21 female offenders from a particular police jurisdiction. The population standard deviation of the ages for each group is unknown. The degree of freedom is ________

Question 2 options:

a)

21

b)

42

c)	Cannot be determined

d)

40

e)

20

Question 3

A researcher wishes to test whether the average family incomes for two cities are significantly different. He sampled 15 households from each city. He was not given the population standard deviation of family income for each city. At 10% significant level, the critical value is ________

Question 3 options:

a)	None of the options

b)

+/- 1.697

c)

+/- 1.313

d)

+/- 1.701

e)

+/- 1.310

Question 4

A criminologist has claimed that there is a significant difference in age between first-time male offenders and first-time female offenders. The population standard deviation was unknown for each group so, based on sample size of 40 males and 40 females, he obtained the sample standard deviation for each group.

At 5% significant level, the critical value is ________

Question 4 options:

a)	None of the options

b)

+/- 2.030

c)

+/- 1.96

d)

1.65

e)

1.96

Question 5

At alpha 5%, a researcher would like to compare the average hospital stay between men and women. She compiled the following statistics.

	Men	Women
Sample Mean	5.5 days	4.2 days
Population Standard Deviation	1.2 days	1.5 days
Sample Size	32	30

The test value is __________

Question 5 options:

a)	None of the options

b)

3.75

c)

1.44

d)

2.89

e)

4.67

Question 6

In a study, a social housing agency concluded that the average cost of housing in Toronto is significantly higher than that of Montreal. At 5% significance level and a critical value of 1.65, which of the following results would support this decision?

Question 6 options:

a)	None of the options

b)	P-value of 4% and Test value of 2.08

c)	P-value of 8% and Test value of 1.70

d)	P-value of 7% and Test value of 2.45

e)	P-value of 5% and Test value of 1.60

Question 7

The following Excel output shows the result of a hypothesis test which explores whether male drivers pay more in insurance premium than female drivers (at alpha 5%).

t-Test: Two-Sample Assuming Unequal Variances
	Male	Female
Mean	$344.10	$245.60
Variance	8681.43	6102.93
Observations	10	10
Hypothesized Mean Difference	0
df	18
t Stat	2.56
P(T<=t) one-tail	0.01
t Critical one-tail	1.74
P(T<=t) two-tail	0.02
t Critical two-tail	2.11

The correct decision is ___________

Question 7 options:

a)	reject the null hypothesis because test value is less than critical value

b)	reject the null hypothesis because the test value is greater than the critical value

c)	accept the null hypothesis because the test value is less than the critical value

d)	accept the null hypothesis because the test value is more than the critical value

e)	None of the above

Question 8

The following Excel output shows the result of a hypothesis test (at alpha 5%) which explores whether there is a significant difference in crime rate between two cities - Tomville and Dinaville.

t-Test: Two-Sample Assuming Unequal Variances
	Tomsville	Dinaville
Mean	17.1	19.4
Variance	9.7	5.4
Observations	10	10
Hypothesized Mean Difference	0
df	17
t Stat	-1.90
P(T<=t) one-tail	0.04
t Critical one-tail	1.74
P(T<=t) two-tail	0.07
t Critical two-tail	2.11

The critical value for this test is ___________

Question 8 options:

a)

+/- 1.74

b)

+ 2.11

c)

- 2.11

d)

+/- 2.11

e)

+ 1.74

Question 9

A city planner believes that the public transit users spend less time commuting to work than non-public transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.

The alternative hypothesis is _________________

Question 9 options:

a)	Public transit users spend different amount of time commuting to work compared to non-public transit users.

b)	Public transit users spend the same amount of time commuting to work as non-public transit users.

c)	Public transit users spend less time commuting to work than nonpublic transit users.

d)	None of the options

e)	Public transit users spend more time commuting to work than non-public transit users.

Question 10

A city planner believes that the transit users spend less time commuting to work than non-transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.

The critical value is _________________

Question 10 options:

a)

- 1.299

b)

- 1.28

c)

+ 1.299

d)

+ 1.28

e)

+ 1.676

Question 11

A city planner believes that the public transit users spend less time commuting to work than non-public transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.

The test value is _________________

Question 11 options:

a)

-17.33

b)	None of the options

c)

-4.56

d)

- 2.08

e)

- 2.13

Question 12

A city planner believes that the public transit users spend less time commuting to work than non-public transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.

The statistical decision is to _________________

Question 12 options:

a)	reject the null hypothesis, and conclude that public transit users spend less time commuting to work than non public transit users

b)	accept the null hypothesis, and conclude that public transit users spend the different amount of time commuting to work as non public transit users.

c)	accept the null hypothesis, and conclude that public transit users spend the same amount of time commuting to work as non public transit users.

d)	None of the options

e)	reject the null hypothesis, and conclude that public transit users spend more time commuting to work than non public transit users

Question 13

If we are testing for the equality of three population means, we should use the ______________

Question 13 options:

a)	t-statistic test

b)	z-statistic test

c)	f-statistic test

d)	chi-square test

e)	None of the above

Question 14

The dependent variable of interest in an ANOVA procedure is called a ______________

Question 14 options:

a)	treatment.

b)	None of the options

c)	partition.

d)

factor.

e)

response.

Question 15

In the analysis of variance procedure (ANOVA), "factor" refers to _____________

Question 15 options:

a)	None of the options

b)	the critical value of F

c)	the dependent variable.

d)	different levels of a treatment

e)	the independent variable.

Question 16

An ANOVA procedure is used for data that was obtained from five sample groups each comprised of six observations. The degrees of freedom for between-group and within-group differences, respectively, are ______________

Question 16 options:

a)

4 and 26

b)

5 and 30

c)

4 and 25

d)	None of the options

e)

5 and 5

Question 17

An ANOVA procedure is used for data that was obtained from five sample groups each comprised of six observations. At alpha 5%, the F-critical value is ______________

Question 17 options:

a)	None of the options

b)

5.050

c)

2.743

d)

2.759

e)

5.192

Question 18

In an analysis of variance problem if MSW = 16 and MSB = 28, then F-test value is __________

Question 18 options:

a)

1.75

b)

0.64

c)

0.57

d)	None of the options

e)

0.43

Question 19

In an analysis of variance problem if SST = 120 and SSB = 90, then SSW is __________

Question 19 options:

a)

80

b)	None of the options

c)

120

d)

30

e)

210

Question 20

At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.

Source	SS	df	MS	F-test	P-value	F-critical
Between Variation	224	(b)	(e)	(g)	0.002	(h)
Within Variation	(a)	(c )	(f)
Total Variation	408	(d)

The degree of freedoms for values in cell (b) and cell (c) are __________

Question 20 options:

a)

4 and 45

b)

5 and 50

c)

5 and 10

d)

4 and 9

e)	None of the options

Question 21

At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.

Source	SS	df	MS	F-test	P-value	F-critical
Between Variation	224	(b)	(e)	(g)	0.002	(h)
Within Variation	(a)	(c )	(f)
Total Variation	408	(d)

The values for MSB (cell e) and MSW (cell f), respectively, are __________

Question 21 options:

a)	56 and 20.44

b)	44.8 and 18.4

c)	None of the options

d)	44.8 and 3.76

e)	56 and 4.09

Question 22

At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.

Source	SS	df	MS	F-test	P-value	F-critical
Between Variation	224	(b)	(e)	(g)	0.002	(h)
Within Variation	(a)	(c )	(f)
Total Variation	408	(d)

The f-test value in cell (g) is __________

Question 22 options:

a)

12.77

b)

14.10

c)	None of the options

d)

13.7

e)

0.073

Question 23

At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.

Source	SS	df	MS	F-test	P-value	F-critical
Between Variation	224	(b)	(e)	(g)	0.002	(h)
Within Variation	(a)	(c )	(f)
Total Variation	408	(d)

The f-critical value is cell (h) is ________

Question 23 options:

a)

2.561

b)

2.579

c)

2.400

d)	None of the options

e)

2.794

Question 24

A professor conducted an ANOVA test comparing students' grades in three of his classes. There were 31 students in each class. The results indicate F-test value of 2.74. At 5% significance level, the professor should _______

Question 24 options:

a)	reject the null hypothesis and conclude that students' performance is not the same for the three classes.

b)	reject the null hypothesis and conclude that students' performance is the same for the three classes.

c)	accept the null hypothesis and conclude that students' performance is not the same for the three classes.

d)	accept the null hypothesis and conclude that students' performance is the same for the three classes.

e)	Not enough information to make a decision.

Question 25

In an Anova test, an F-test value ________________ will likely suggest that the null hypothesis be rejected, and conclude that there is a significance difference among the groups.

Question 25 options:

a)	greater than 0

b)	none of the options

c)	greater than 1

d)	equal to 1

e)	less than 1