Statistics in finance (Quiz)

WEEK 2: two sample test

Câu hỏi 1: In testing for the differences between the means of 2 independent populations where the
variances in each population are unknown but assumed equal, the degrees of freedom are

a. n1+n2−2
b. n1+n2−1
c. n−1
d. n−2

Câu hỏi 2: If we are testing for the difference between the means of 2 independent populations with
samples of n1=40 and n2=60, which of the following critical values should be used?

A. t(39,59)α/2
B. t(98)α/2
C. zα/2
D. t(99)α/2

Câu hỏi 3: The t test for the mean difference between 2 related populations assumes that the

a. population sizes are equal.

b. population of differences is approximately normal or sample sizes are large enough.
c. sample variances are equal.
d. All of these.

Câu hỏi 4: Given the following information, calculate the degrees of freedom that should be used in the
pooled-variance t test. s21=4;s22=6;n1=18;n2=25

a. df = 41
b. df = 43
c. df = 25
d. df = 18

Câu hỏi 5: Given the following information, calculate s2p, the pooled sample variance that should be
used in the pooled-variance t test. s21=4;s22=6;n1=16;n2=25

a. s2p=6.00
b. s2p=5.00
c. s2p=4.00
d. s2p=5.23

Câu hỏi 6: If we are testing for the difference between the means of 2 related populations with samples
of n1=20 and n2=20, the number of degrees of freedom is equal to

a. 39
b. 19
c. 18
d. 38
Câu hỏi 7: If we are testing for the difference between the means of 2 independent populations
presuming equal variances with samples of n1=20 and n2=20, the number of degrees of freedom is
equal to

a. 19
b. 18
c. 38
d. 39

Câu hỏi 8: In testing for differences between the means of two independent populations, the null
hypothesis is:

a. H0:μ1−μ2=0
b. H0:μ1−μ2 < 2
c. H0:μ1−μ2=2
d. H0:μ1−μ2 > 0

Câu hỏi 9: In testing for differences between the means of two related populations, the null hypothesis is

a. H0:μD=2
b. H0:μD=0
c. H0:μD < 0
d. H0:μD > 0

Câu hỏi 10: The t test for the difference between the means of 2 independent populations assumes that
the respective

a. sample variances are equal.

b. populations are approximately normal.
c. sample sizes are equal.
d. All of these.

Câu hỏi 11: The test for the equality of two population variances is based on

a. the difference between the 2 sample variances.

b. the difference between the 2 population variances.
c. the ratio of the 2 sample variances.
d. the difference between the sample variances divided by the difference between the sample
means.

Week 3: proportions and correlation

Câu hỏi 1: A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.
To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is
less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin.
The value of the test statistic in this problem is approximately equal to:

a. – 2.33
b. – 1.86
c. – 0.07
 d. – 4.12

Câu hỏi 2: The correlation coefficient is used to determine:

a. None of these
b. The strength of the relationship between the x and y variables
c. A specific value of the x-variable given a specific value of the y-variable
d. A specific value of the y-variable given a specific value of the x-variable

Câu hỏi 3: A group of researchers conducted some research in which they identified a significant positive
correlation (r = .41) between the number of children people have and their life satisfaction. Which of the
following is inappropriate to conclude from this research?

a. That having children makes people more satisfied with their life.
b. That the consequences of having children are unclear.
c. That it is possible to predict someone’s life happiness partly on the basis of the number of
children they have.
d. That someone who has children is likely to be happier than someone who does not.

Câu hỏi 4: The Wall Street Journal recently ran an article indicating differences in perception of sexual
harassment on the job between men and women. The article claimed that women perceived the
problem to be much more prevalent than did men. One question asked to both men and women was:
“Do you think sexual harassment is a major problem in the American workplace?” Some 24% of the men
compared to 62% of the women responded “Yes.” Suppose that 150 women and 200 men were
interviewed. What conclusion should be reached?

a. There is insufficient evidence to conclude with at least 99% confidence that women perceive the
problem of sexual harassment on the job as much more prevalent than do men.
b. More information is needed to draw any conclusions from the data set.
c. Using a 0.01 level of significance, there is sufficient evidence to conclude that women perceive
the problem of sexual harassment on the job as much more prevalent than do men.
d. There is no evidence of a significant difference between the men and women in their perception.

Câu hỏi 5: A major videocassette rental chain is considering opening a new store in an area that currently
does not have any such stores. The chain will open if there is evidence that more than 5,000 of the
20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a
telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. The value
of the test statistic in this problem is approximately equal to:

a. 1.94
b. 2.80
c. 1.30
d. 2.60

Câu hỏi 6: Which of the following values could not represent a correlation coefficient?

a. r = 0.99
b. r = 1.08
c. r = -0.21
d. r = -1.00
Câu hỏi 7: Which of the following would be an appropriate alternative hypothesis?

a. The sample proportion is no less than 0.65.

b. The population proportion is less than 0.65.
c. The population proportion is no less than 0.65.
d. The sample proportion is less than 0.65.

Câu hỏi 8: A politician makes the following claim in a speech: "Correlational research has clearly shown
that a lack of education causes people to turn to a life of drugs." What is wrong with this politician's
claim?

a. The politician misinterpreted the direction of the correlation.

b. It would be unethical to conduct correlational research on people's drug use.
c. Correlational research does not prove that one variable causes another.
d. The data to which the politician referred was based on a small sample size.

Câu hỏi 9: A major videocassette rental chain is considering opening a new store in an area that currently
does not have any such stores. The chain will open if there is evidence that more than 5,000 of the
20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a
telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. The rental
chain's conclusion from the hypothesis test using a 3% level of significance is:

a. not to open a new store.

b. to delay opening a new store until additional evidence is collected. we cannot tell what the
decision should be from the information given.
c. to open a new store.

Câu hỏi 10: True or False: Suppose, in testing a hypothesis about a proportion, the p-value is computed
to be 0.043. The null hypothesis should be rejected if the chosen level of significance is 0.05.

a. False
b. True

Câu hỏi 11: Store 2: n = 170; f = 115; Store 3: n = 120; f = 85. At significant level of 5%, compare Female
customer proportion between store 2 and 3 Zstat=?

Answer: …

Câu hỏi 12: Which of the following would be an appropriate null hypothesis?

a. The population proportion is less than 0.65.

b. The sample proportion is no less than 0.65.
c. The sample proportion is less than 0.65.
d. The population proportion is no less than 0.65.

Câu hỏi 13: A powerful women’s group has claimed that men and women differ in attitudes about sexual
discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual
discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women
did believe that sexual discrimination is a problem. Find the value of the test statistic.

a. Z = – 1.05
 b. Z = – 2.55
c. Z = – 1.20
d. Z = – 0.85
a. Câu hỏi 14: True or False: Suppose, in testing a hypothesis about a proportion, the Z test statistic
is computed to be 2.04. The null hypothesis should be rejected if the chosen level of significance
is 0.01 and a two-tailed test is used. False
b. True

Câu hỏi 15: You believe that there is a weak relationship between your height and the grades you earn in
your psychology course. Which of the following pieces of evidence would support your belief?

a. A negative correlation coefficient.

b. A correlation coefficient close to 0.0.
c. A positive correlation coefficient.
d. A correlation coefficient close to 1.0.

Week 4: One-way ANOVA

Câu hỏi 1: The ... sum of squares measures the variability of the sample treatment means around the
overall mean.

a. Error
b. Interaction
c. Total
d. Treatment

Câu hỏi 2: In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33. In this
case, the p-value is:

a. Cannot tell - it depends on what the SSE is

b. less than 0.05
c. greater than 0.05
d. exactly 0.05

Câu hỏi 3: When the k population means are truly different from each other, it is likely that the average
error deviation:

a. is relatively large compared to the average treatment deviations.

b. is relatively small compared to the average treatment deviations.
c. None of these.
d. is about equal to the average treatment deviation.

Câu hỏi 4: Which of the following components in an ANOVA table are not additive?

a. Sum of squares.
b. Mean squares.
c. Degrees of freedom.
d. It is not possible to tell.
Câu hỏi 5: In a one-way ANOVA, the null hypothesis is always

a. some of the population means are different.

b. there is no factor effect.
c. there is some factor effect.
d. all the population means are different.

Câu hỏi 6: Which of the following is an assumption of one-way ANOVA comparing samples from three or
more experimental treatments?

a. The samples associated with each population are randomly selected and are independent from
all other samples.
b. All the response variables within the k populations follow a normal distribution.
c. All of these.
d. The response variable within each of the k populations have equal variances.

Câu hỏi 7: Analysis of variance is a statistical method of comparing the of several populations.

a. Standard Deviations
b. Means
c. Variances
d. None of the above

Câu hỏi 8: Why would you use the Tukey procedure?

a. To test for homogeneity of variance.

b. To test independence of errors.
c. To test for differences in pairwise means.
d. To test for normality.

Câu hỏi 9: Assume that there is no overlap between the box and whisker plots for three drug treatments
where each drug was administered to 35 individuals. The box plots for these data:

a. represent evidence for the null hypothesis of ANOVA

b. provide no evidence for, or against, the null hypothesis of ANOVA
c. represent evidence against the null hypothesis of ANOVA.
d. None of the these

Câu hỏi 10: The F test statistic in a one-way ANOVA is

a. SSB/SSW.
b. MSW/MSB.
c. SSW/SSB.
d. MSB/MSW.

Câu hỏi 11: In a study, subjects are randomly assigned to one of three groups: control, experimental A, or
experimental B. After treatment, the mean scores for the three groups are compared. The appropriate
statistical test for comparing these means is:
 a. Chi Square
b. The Correlation Coefficient
c. The Analysis Of Variance
d. The T-test

Câu hỏi 12: In a one-way ANOVA, if the computed F statistic exceeds the critical F value we may

a. not reject H0 since there is no evidence of a difference.

b. reject H0 since there is evidence of a treatment effect.
c. reject H0 since there is evidence all the means differ.
d. not reject H0 because a mistake has been made.

Câu hỏi 13: The error deviations within the SSE statistic measure distances:

a. within groups
b. None of these
c. both between groups and within groups
d. between groups

Câu hỏi 14: The ... sum of squares measures the variability of the observed values around their
respective treatment means.

a. Treatment
b. Error
c. Total
d. Interaction

Câu hỏi 15: The degrees of freedom for the F test in a one-way ANOVA are

a. (n – k) and (k – 1).
b. (k – n) and (n – 1).
c. (n – 1) and (k – n).
d. (k – 1) and (n – k).

Week 5: two-way ANOVA

Câu hỏi 1: A two-way ANOVA is performed and the sum of squares for factor B (SS-B) is found to be 328.
If there are 5 groups in factor B, what is the value for the mean square (MS-B)?

a. 1312
b. 1640
c. 82
d. 65.6

Câu hỏi 2: Two factors R including h groups and C including k groups, in a two-way ANOVA with
interaction, the degrees of freedom for factor C is

a. (h – 1)(k – 1).
b. (k - 1).
 c. (n - h - k + 1).
d. (h – 1).

Câu hỏi 3: How many F-ratios are calculated if you do a two-way ANOVA with interaction?

a. 1
b. 3
c. 4
d. 2

Câu hỏi 4: An interaction effect means that ______.

a. The effect size is extremely large.

b. You have a single-factor design.
c. The effect of one independent variable depends on the level of another independent variable.
d. The effect size is extremely small.

Câu hỏi 5: Two factors R including h groups and R including k groups, in a two-way ANOVA without
interaction, the degrees of freedom for error term is

a. (h – 1).
b. (n - h - k + 1).
c. (h – 1)(k – 1).
d. (k - 1).

Câu hỏi 6: Effect of one independent variable on the dependent variable changes at the different levels
of another independent variable is called

a. Single effect
b. Interaction effect
c. Multiple effect
d. Main effect

Câu hỏi 7: A two-way ANOVA is performed and the F-ratio for factor A is calculated to be 3.8. The critical
F-ratio at a significance level of alpha = 0.05 is 4.3. From this information, what can you conclude about
how factor A is influencing the measured variable?

a. There are not any differences in the measured variable due to factor A.
b. You need to know how many measurements were made before you can conclude anything
about the effect of factor A.
c. There are differences in the measured variable due to factor A.
d. You need to know how many factors there are total before you can conclude anything about the
effect of factor

Câu hỏi 8: Two factors R including h groups and C including k groups, in a two-way ANOVA with
interaction, the degrees of freedom for factor R is

a. (h – 1)(k – 1).
b. (k - 1).
c. (n - h - k + 1).
d. (h – 1).
Câu hỏi 9: Two factors R including h groups and C including k groups, in a two-way ANOVA without
interaction, the degrees of freedom for factor C is

a. (h – 1)(k – 1).
b. (h – 1).
c. (n - h - k + 1).
d. (k - 1).

Câu hỏi 10: In which of these situations would you use a two-way ANOVA?

a. A pharmaceutical company has developed three new blood pressure medications. The company
gives the drug to patients in three different age ranges. The company wants to know if there are
differences in blood pressure due to the medication, the age of the patients, or if there is any
interaction between the type of medication and the patient age.
b. A pet food company uses four different manufacturing plants to make a certain kind of dog food.
They want to make sure that each plant produces food with the same concentration of a certain
nutrient. Data is collected on the concentration of the nutrient in food made by each plant, and
the data is analyzed to determine if there are any differences between the four different plants.
c. All of these could be analyzed with a two-way ANOVA
d. An advertising agency shows three new ads for a product to a focus group and asks the group to
rate how likely they are to buy the product after viewing each ad. The company wants to know if
one ad is more effective than the others.

Week 6: Time series

Câu hỏi 1: The multiplicative model for the components of time series is

a. Y=T×S×C×I
b. Y=T×S×C+I
c. Y=T+S×C×I
d. Y=T+S+C+I

Câu hỏi 2: Time series data of annual Revenue from 1997 to 2023 includes ________ observations.

a. 27
b. 28
c. 26
d. 25

Câu hỏi 3: A time series analysis consists of

a. Long-term changes
b. Short-term changes
c. Irregular variations
d. All of these

Câu hỏi 4: Seasonal variations means the variations occurring within

a. Parts of a year
 b. Number of years
c. Parts of a month
d. None of these

Câu hỏi 5: A time series data is a set of data recorded

a. At time or space intervals

b. All of these
c. At successive points of time
d. Periodically

Câu hỏi 6: A regression result on annual data from 1992 to 2023 is ln(Salet)=2.7+0.06t. Forecast for Sale
in 2024 is ________

a. 101.49
b. 4.68
c. 4.62
d. 107.77

Câu hỏi 7: Which component of time series is attached to the short-term variation?

a. Irregular fluctuation
b. Cyclic variation
c. Seasonal variation
d. All of these

Câu hỏi 8: The additive model for the components of time series is

a. Y=T+S×C×I
b. Y=T×S×C×I
c. Y=T×S×C+I
d. Y=T+S+C+I

Câu hỏi 9: Regression result on annual data from 1991 to 2023 is Salet=26.4+2.7t. Forecast for Sale in
2024 is ________

a. 118.2
b. 112.8
c. 62.1
d. 115.5

Câu hỏi 10: The irregular variations in time series are caused by

a. Epidemics
b. All of these
c. Strikes
d. Floods

Câu hỏi 11: There are ____________ components of time series

a. Four
 b. Many
c. Three
d. Two

Câu hỏi 12: The process in which a set of observations in a time series is analyzed is called

a. Regression
b. Irregular variations
c. None of these
d. Time series analysis

Câu hỏi 13: In the time series, the linear trends is towards

a. All of these
b. Constant rate of change
c. Change in geometric progression
d. Constant rate of growth

Câu hỏi 14: The time series analysis helps to

a. Compare two or more series

b. All of these
c. Make predictions
d. Know the behavior of business

Câu hỏi 15: The factors responsible for seasonal variation are

a. Weather
b. Festivals
c. All of these
d. Social customs

Week 2: Two samples test

1) The t test for the mean difference between 2 related populations assumes that the
a. sample variances are equal.
b. population sizes are equal.
c. All of these.
d. population of differences is approximately normal or sample sizes are large enough.

2) The t test for the difference between the means of 2 independent populations assumes
that the respective
a. sample sizes are equal.
b. populations are approximately normal.
c. sample variances are equal.
d. All of these.

3) The test for the equality of two population variances is based on

a. the difference between the 2 population variances.
b. the ratio of the 2 sample variances.
c. the difference between the 2 sample variances.
d. the difference between the sample variances divided by the difference between the
sample means.

4) If we are testing for the difference between the means of 2 related populations with
samples of n1=20 and n2=20, the number of degrees of freedom is equal to
a.18
b.19
c.39
d.38

5) Given the following information, calculate s2p , the pooled sample variance that should be
used in the pooled-variance t test. s21=4; s22=6;n1=16;n2=25
a s2p= 4.00
b. s2p=5.23
c. s2p =6.00
d. s2p=5.00

6) In testing for differences between the means of two independent populations, the null
hypothesis is:
a.H0:μ1−μ2>0
b.H0:μ1−μ2=2
c.H0:μ1−μ2<2
d.H0:μ1−μ2=0
7) If we are testing for the difference between the means of 2 independent populations
with samples of n1=40 and n2=60, which of the following critical values should be used?
A. t(99)α/2
B. t(98)α/2
C. zα/2
D. t(39,59)α/2
8) Given the following information, calculate the degrees of freedom that should be used in
the pooled-variance t test. s21=4; s22 =6;n1=18;n2=25
a. df = 43
b. df = 18
c. df = 41
d. df = 25
9) In testing for the differences between the means of 2 independent populations where
the variances in each population are unknown but assumed equal, the degrees of freedom
are
a. n−1 b. n−2
c. n1+n2−1 d. n1+n2−2
10) If we are testing for the difference between the means of 2 independent populations
presuming equal variances with samples of n1=20 and n2=20, the number of degrees of
freedom is equal to
a.38 b.18 c.19 d.39

11) In testing for differences between the means of two related populations, the null
hypothesis is
a.H0:μD=0
b.H0:μD > 0
c.H0:μD=2
d.H0:μD< 0

Week 3: Proportion and correlation

1) Which of the following would be an appropriate alternative hypothesis?
a.The population proportion is less than 0.65.
b.The sample proportion is no less than 0.65.
c.The population proportion is no less than 0.65.
d.The sample proportion is less than 0.65.
2) Which of the following would be an appropriate null hypothesis?
a.The sample proportion is no less than 0.65.
b.The population proportion is no less than 0.65.
c.The population proportion is less than 0.65.
d.The sample proportion is less than 0.65.
3) A survey claims that 9 out of 10 doctors recommend aspirin for their patients with
headaches. To test this claim against the alternative that the actual proportion of doctors
who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who
indicate that they recommend aspirin. The value of the test statistic in this problem is
approximately equal to:
a.– 0.07
b.– 1.86
c.– 2.33
d.– 4.12
4) A politician makes the following claim in a speech: "Correlational research has clearly
shown that a lack of education causes people to turn to a life of drugs." What is wrong with
this politician's claim?
a.Correlational research does not prove that one variable causes another.
b.The data to which the politician referred was based on a small sample size.
c.The politician misinterpreted the direction of the correlation.
d.It would be unethical to conduct correlational research on people's drug use.
5) A survey claims that 9 out of 10 doctors recommend aspirin for their patients with
headaches. To test this claim against the alternative that the actual proportion of doctors
who recommend aspirin is less than 0.90, a random sample of 100 doctors was selected.
Suppose you reject the null hypothesis. What conclusion can you draw?
a.There is not sufficient evidence that the proportion of doctors who recommend aspirin is
not less than 0.90.
b.There is not sufficient evidence that the proportion of doctors who recommend aspirin is
less than 0.90.
c.There is sufficient evidence that the proportion of doctors who recommend aspirin is not
less than 0.90.
d.There is sufficient evidence that the proportion of doctors who recommend aspirin is less
than 0.90.
6) You believe that there is a weak relationship between your height and the grades you
earn in your psychology course. Which of the following pieces of evidence would support
your belief?
a.A negative correlation coefficient.
b.A correlation coefficient close to 0.0.
c.A correlation coefficient close to 1.0.
d.A positive correlation coefficient.
7) The marketing manager for an automobile manufacturer is interested in determining the
proportion of new compact-car owners who would have purchased a passenger-side
inflatable air bag if it had been available for an additional cost of $300. The manager
believes from previous information that the proportion is 0.30. Suppose that a survey of
200 new compact-car owners is selected and 79 indicate that they would have purchased
the inflatable air bags. If you were to conduct a test to determine whether there is evidence
that the proportion is different from 0.30 and decided not to reject the null hypothesis,
what conclusion could you draw?
a.There is sufficient evidence that the proportion is 0.30.
b.There is not sufficient evidence that the proportion is not 0.30.
c.There is sufficient evidence that the proportion is 0.30.
d.There is not sufficient evidence that the proportion is 0.30.
8) If we wish to determine whether there is evidence that the proportion of items of
interest is higher in group 1 than in group 2, the appropriate test to use is
a.the F test for the difference between two proportions.
b.the pooled-variance t test for the difference between two proportions.
c.the F test for the difference between two variances.
d.the Z test for the difference between two proportions.
9) The Wall Street Journal recently ran an article indicating differences in perception of
sexual harassment on the job between men and women. The article claimed that women
perceived the problem to be much more prevalent than did men. One question asked to
both men and women was: “Do you think sexual harassment is a major problem in the
American workplace?” Some 24% of the men compared to 62% of the women responded
“Yes.” Suppose that 150 women and 200 men were interviewed. What conclusion should be
reached?
a.There is insufficient evidence to conclude with at least 99% confidence that women
perceive the problem of sexual harassment on the job as much more prevalent than do
men.
b.Using a 0.01 level of significance, there is sufficient evidence to conclude that women
perceive the problem of sexual harassment on the job as much more prevalent than do
men.
c.There is no evidence of a significant difference between the men and women in their
perception.
d.More information is needed to draw any conclusions from the data set.
10) Store 2: n = 170; f = 115
Store 3: n = 120; f = 85
At significant level of 5%, compare Female customer proportion between store 2 and 3
ANS: z stat = -0.5776
11) When Paul uses more expensive fuel in his car, he finds that he can drive more miles for
each gallon of gas than when he uses cheaper fuel. This example highlights a _____
correlation.
a.causal
b.positive
c.weak
d.negative
12) The width of a confidence interval estimate for a proportion will be
a.wider for a sample size of 100 than for a sample size of 50.
b.narrower for 90% confidence than for 95% confidence.
c.narrower for 99% confidence than for 95% confidence.
d.narrower when the sample proportion is 0.50 than when the sample proportion is 0.20.
13) The correlation coefficient is used to determine:
a.A specific value of the x-variable given a specific value of the y-variable
b.None of these
c.A specific value of the y-variable given a specific value of the x-variable
d.The strength of the relationship between the x and y variables
14) Which of the following values could not represent a correlation coefficient?
a.r = -1.00
b.r = 1.08
c.r = 0.99
d.r = -0.21
15) A major videocassette rental chain is considering opening a new store in an area that
currently does not have any such stores. The chain will open if there is evidence that more
than 5,000 of the 20,000 households in the area are equipped with videocassette recorders
(VCRs). It conducts a telephone poll of 300 randomly selected households in the area and
finds that 96 have VCRs. The value of the test statistic in this problem is approximately
equal to:
a.2.60
b.1.94
c.1.30
d.2.80

Week 4: One way ANOVA

1) In a one-way ANOVA, the null hypothesis is always
a.there is some factor effect.
b.there is no factor effect.
c.some of the population means are different.
d.all the population means are different.
2) The degrees of freedom for the F test in a one-way ANOVA are
a.(n – k) and (k – 1).
b.(k – 1) and (n – k).
c.(k – n) and (n – 1).
d.(n – 1) and (k – n).
3) Why would you use the Tukey procedure?
a.To test for normality.
b.To test for differences in pairwise means.
c.To test independence of errors.
d.To test for homogeneity of variance.
4) The ... sum of squares measures the variability of the sample treatment means around
the overall mean.
a.Total
b.Interaction
c.Error
d.Treatment
5) The ... sum of squares measures the variability of the observed values around their
respective treatment means.
a.Total
b.Error
c.Interaction
d.Treatment
6) Which of the following is an assumption of one-way ANOVA comparing samples from
three or more experimental treatments?
a.The samples associated with each population are randomly selected and are independent
from all other samples.
b.The response variable within each of the k populations have equal variances.
c.All the response variables within the k populations follow a normal distributions.
d.All of theses.
7) Analysis of variance is a statistical method of comparing the of several populations.
a.Variances
b.None of the above
c.Means
d.Standard Deviations
8) In a one-way ANOVA, if the computed F statistic exceeds the critical F value we may
a.reject H0 since there is evidence all the means differ.
b.not reject H0 because a mistake has been made.
c.not reject H0 since there is no evidence of a difference.
d.reject H0 since there is evidence of a treatment effect.
9) The error deviations within the SSE statistic measure distances:
a.within groups
b.both between groups and within groups
c.None of these
d.between groups
10) In a study, subjects are randomly assigned to one of three groups: control, experimental
A, or experimental B. After treatment, the mean scores for the three groups are compared.
The appropriate statistical test for comparing these means is:
a.The Correlation Coefficient
b.The Analysis Of Variance
c.The T-test
d.Chi Square
11) Assume that there is no overlap between the box and whisker plots for three drug
treatments where each drug was administered to 35 individuals. The box plots for
these data:
a.provide no evidence for, or against, the null hypothesis of ANOVA
b.represent evidence for the null hypothesis of ANOVA
c.represent evidence against the null hypothesis of ANOVA. d.None of the these
12) In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33.
In this case, the p-value is:
a.greater than 0.05
b.exactly 0.05
c.less than 0.05
d.Cannot tell - it depends on what the SSE is
13) Which of the following components in an ANOVA table are not additive?
a.Degrees of freedom.
b.It is not possible to tell.
c.Mean squares.
d.Sum of squares.
14) The F test statistic in a one-way ANOVA is
a.MSW/MSB. b.MSB/MSW.
c.SSW/SSB. d.SSB/SSW.
15) When the k population means are truly different from each other, it is likely that the
average error deviation:
a.is about equal to the average treatment deviation.
b.None of these.
c.is relatively large compared to the average treatment deviations.
d.is relatively small compared to the average treatment deviations.

Week 5: Two way ANOVA

1) Effect of one independent variable on the dependent variable within a factorial research
design is called
a.Single effect
b.Interaction effect
c.Main effect
d.Multiple effect
2) In which of these situations would you use a two-way ANOVA?
a.All of these could be analyzed with a two-way ANOVA
b.An advertising agency shows three new ads for a product to a focus group and asks the
group to rate how likely they are to buy the product after viewing each ad. The company
wants to know if one ad is more effective than the others.
c.A pet food company uses four different manufacturing plants to make a certain kind of
dog food. They want to make sure that each plant produces food with the same
concentration of a certain nutrient. Data is collected on the concentration of the nutrient in
food made by each plant, and the data is analyzed to determine if there are any differences
between the four different plants.
d.A pharmaceutical company has developed three new blood pressure medications. The
company gives the drug to patients in three different age ranges. The company wants to
know if there are differences in blood pressure due to the medication, the age of the
patients, or if there is any interaction between the type of medication and the patient age.
3) A two-way ANOVA is performed and the sum of squares for factor B (SS-B) is found to be
328. If there are 5 groups in factor B, what is the value for the mean square (MS-B)?
a.82
b.1312
c.65.6
d.1640
4) Two factors R including h groups and C including k groups, in a two-way ANOVA with
interaction, the degrees of freedom for factor C is
a.(h – 1)(k – 1).
b.(k - 1).
c.(n - h - k + 1).
d.(h – 1).
5) Two factors R including h groups and R including k groups, in a two-way ANOVA without
interaction, the degrees of freedom for error term is
a.(n - h - k + 1).
b.(k - 1).
c.(h – 1)(k – 1).
d.(h – 1).
6) Two factors R including h groups and C including k groups, in a two-way ANOVA with
interaction, the degrees of freedom for the interaction term is
a.(h – 1).
b.(h – 1)(k – 1).
c.(n - h - k + 1).
d.(k - 1).
7) How many F-ratios are calculated if you do a two-way ANOVA with interaction?
a.2
b.1
c.4
d.3
8) Two factors R including h groups and C including k groups, in a two-way ANOVA without
interaction, the degrees of freedom for factor R is
a.(k - 1).
b.(h – 1)(k – 1).
c.(n - h - k + 1).
d.(h – 1).

9) A two-way ANOVA is performed and the F-ratio for factor A is calculated to be 4.8. The
critical F-ratio at a significance level of alpha = 0.05 is 4.3. From this information, what can
you conclude about how factor A is influencing the measured variable?
a.You need to know how many factors there are total before you can conclude anything
about the effect of factor A. b.There are not any differences in the measured variable due to
factor A. c.You need to know how many measurements were made before you can
conclude anything about the effect of factor A. d.There are differences in the measured
variable due to factor A. 10) Effect of one independent variable on the dependent variable
changes at the different levels of another independent variable is called
a.Single effect
b.Interaction effect
c.Main effect
d.Multiple effect