Question 1 Analysis of Variance is based upon a comparison of two estimates of t

Question

Question 1

Analysis of Variance is based upon a comparison of two estimates of the variance of the overall population that contains all samples.

Select one: True / False

Question 2

In a Randomized Block Design, the degrees of freedom for the MSE (Mean Square Due to Error) is

(# of treatments - 1) + (# of blocks -1)

Select one: True / False

Question 3

In order to control some of the extraneous sources of variation, one must use Completely Randomized Design.

Select one: True / False

Question 4

Analysis of Variance can be performed on populations with different standard deviations and variances

Select one: True / False

Question 5

In the development of new drugs for the treatment of anxiety, it is important to check the drug's effects on various motor functions, one of which is driving. The Confab Pharmaceutical Company is testing four different tranquilizing drugs for their effects on driving skill. Subjects take a simulated driving test, and their scores reflect their error. The more severe errors lead to higher scores. The results of these tests produced in the following table.

Drug 1

Drug 2

Drug 3

Drug 4

ni

4

4

5

5

246

273

230

244

Si

8.37

6.06

10.42

6.63

Management would like to know if the four drugs affect the driving skill differently. State the appropriate null and alternative hypothesis

Select one:

D. H0:P1=P2=P3=P4 AND Ha P's are different

Question 6

In the development of new drugs for the treatment of anxiety, it is important to check the drug's effects on various motor functions, one of which is driving. The Confab Pharmaceutical Company is testing four different tranquilizing drugs for their effects on driving skill. Subjects take a simulated driving test, and their scores reflect their error. The more severe errors lead to higher scores. The results of these tests produced in the following table.

Drug 1

Drug 2

Drug 3

Drug 4

ni

4

4

5

5

246

273

230

244

Si

8.37

6.06

10.42

6.63

Select one:

A. 247, 66.4625, 1399.3333, Ftest=21.0545

B. 248.25, 66.4625, 1408.7083, Ftest=21.1955

C. 248.25, 7.9636, 1408.7083, Ftest=176.8940

D. 247, 7.9636, 1399.3333, Ftest=175.7162

Question 7

In the development of new drugs for the treatment of anxiety, it is important to check the drug's effects on various motor functions, one of which is driving. The Confab Pharmaceutical Company is testing four different tranquilizing drugs for their effects on driving skill. Subjects take a simulated driving test, and their scores reflect their error. The more severe errors lead to higher scores. The results of these tests produced in the following table.

Drug 1

Drug 2

Drug 3

Drug 4

ni

4

4

5

5

246

273

230

244

Si

8.37

6.06

10.42

6.63

At 5% level of significance, do the four drugs affect driving skill differently?

Select one:

A. Fcrit=3.34 < Ftest. Failed to reject the null hypothesis. The four drugs have different affect on driving skill.

B. Fcrit=3.34 < Ftest. Reject the null hypothesis. The four drugs have same affect on driving skill.

C. Fcrit=3.34 < Ftest. Failed to reject the null hypothesis. The four drugs have same affect on driving skill.

D. Fcrit=3.34 < Ftest. Reject the null hypothesis. The four drugs have different affect on driving skill.

Question 8

In an analysis of variance, one estimate of s2 is based upon the differences between the treatment means and the

Select one:

A. means of each Sample

B. Overall sample mean

C. Sum of observations

D. populations have equal mean

Drug 1

Drug 2

Drug 3

Drug 4

ni

4

4

5

5

246

273

230

244

Si

8.37

6.06

10.42

6.63

Explanation / Answer

Solution:

Question 1
Analysis of Variance is based upon a comparison of two estimates of the variance of the overall population that contains all samples.
ans: True

F = MStreatment/MSE

Question 2
In a Randomized Block Design, the degrees of freedom for the MSE (Mean Square Due to Error) is
(# of treatments - 1) + (# of blocks -1)
ans: False
(Total number of values -1) - { (# treatments -1) + (# blocks -1) }

Question 3
In order to control some of the extraneous sources of variation, one must use Completely Randomized Design.
ans: True
A completely randomized design relies on randomization to control for the effects of extraneous variables

Question 4
Analysis of Variance can be performed on populations with different standard deviations and variances
ans: False
One of the assumptions of ANOVA is that all populations have a common variance.

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