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A two-way ANOVA test is to be conducted to determine the effect of annual income

ID: 3180769 • Letter: A

Question

A two-way ANOVA test is to be conducted to determine the effect of annual income and marital status on happiness. An observational study is designed so that 50 people are randomly chosen to fall into each of the 12 categories presented in the following table (giving a total of 600 test subjects):

All of the study subjects are given a series of questions to answer regarding their level of happiness, and the results are recorded.

Complete the following statements relating to the factors and levels in this ANOVA test. Enter your answers as numerical whole numbers.

a)In this test, there are  factors being tested.

b)In this test, there are  different levels for income.

c)In this test, there are  different levels for marital status.

Income Total Low Medium High Marital
Status Single 50 50 50 150 Married 50 50 50 150 Divorced 50 50 50 150 Widowed 50 50 50 150 Total 200 200 200 600

Explanation / Answer

Answer:

A two-way ANOVA test is to be conducted to determine the effect of annual income and marital status on happiness. An observational study is designed so that 50 people are randomly chosen to fall into each of the 12 categories presented in the following table (giving a total of 600 test subjects):

Income

Total

Low

Medium

High

Marital
Status

Single

50

50

50

150

Married

50

50

50

150

Divorced

50

50

50

150

Widowed

50

50

50

150

Total

200

200

200

600

All of the study subjects are given a series of questions to answer regarding their level of happiness, and the results are recorded.

Complete the following statements relating to the factors and levels in this ANOVA test. Enter your answers as numerical whole numbers.

a)In this test, there are 2  factors being tested.

b)In this test, there are  3 different levels for income.

c)In this test, there are 4 different levels for marital status.

Income

Total

Low

Medium

High

Marital
Status

Single

50

50

50

150

Married

50

50

50

150

Divorced

50

50

50

150

Widowed

50

50

50

150

Total

200

200

200

600

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