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Stats 11.6 ANOVA

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

ANOVA stands for ...

a)

Analysis of Variation

b)

Analysis of Variance

c)

Analysis of Variability

d)

A Non-Visual Analysis

2.

ANOVA testing is used for ...

a)

Test for one mean

b)

Test for two means

c)

Test for three or more means

d)

Test for independence between two variables

3.

A large sample F-ratio (F test statistic) is likely to lead us to ____ in an ANOVA test.

a)

reject Ho

b)

not reject Ho

c)

reject Ha

d)

not reject Ha

4.

Identify the appropriate statistical test to see if there is a difference in the mean salaries.

a)

t-test for one mean

b)

t-test for two means

c)

chi-square test of independence of two variables

d)

F-test for an ANOVA

5.

Formulate the alternative hypothesis.

a)


μ1 & μ2\mu_1\ \&\ \mu_2 are not the same

b)

μ2 & μ3\mu_2\ \&\ \mu_3 are not the same

c)

μ1 ≠ μ2 ≠ μ3\mu_1\ \ne\ \mu_2\ \ne\ \mu_3

d)

At least one mean is different

6.

Compute the F-ratio (test statistic) when MSB = 391.2 and MSW = 174.1714

a)

391.2

b)

3.4668

c)

2.246

d)

0.1306

7.

Compute the F critical value for  α\alpha  =1%, N = 24 and k = 3

a)

2.246

b)

4.718

c)

5.781

d)

2.575

8.

The correct decision is ...

a)

reject Ho

b)

fail to reject Ho

c)

reject H1

d)

fail to reject H1

9.

The correct conclusion is ...

a)

There are significant differences in mean salaries among the 3 majors.

b)

There are no significant differences in mean salaries among the 3 majors.

c)

We need to do a chi-square test to find the differences.

d)

We need to do a Bonferroni test to find the differences.

10.

The dfB = 4 and dfW = 20. What would be the total N for an ANOVA?

a)

19

b)

20

c)

24

d)

25