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The PAC-10 Conference consists of ten schools. Schools of the PAC-10 1 - Arizona

ID: 3262182 • Letter: T

Question

The PAC-10 Conference consists of ten schools.

Schools of the PAC-10

1 - Arizona

5 - Oregon State

9 - Washington

2 - Arizona State

6 - Stanford

0 - Washington State

3 - California

7 - UCLA

4 - Oregon

8 - USC

Use systematic sampling selecting every second number from the population to identify five schools out of the ten as a sample. The following random numbers table has already been used to randomly select the first school, USC. What are the other four schools in the sample?

1

0

4

8

0

2

2

3

6

8

2

4

1

3

0

4

2

1

6

7

3

7

5

7

0

7

7

9

2

1

9

9

5

6

2

9

6

8

0

1

8

9

5

7

9

8

5

8

7

5

2

8

9

1

8

6

3

8

5

3

0

9

4

2

9

1

0

3

6

5

1

0

3

6

5

0

7

2

1

9

5

1

0

8

5

0

2

3

6

8

0

1

0

1

1

5

2

1

6

2

A)

Washington, Washington State, Arizona, Arizona State

B)

Arizona, California, Oregon State, UCLA

C)

Washington State, Arizona State, Oregon, Stanford

D)

USC, USC, California, Arizona State

The PAC-10 Conference consists of ten schools.

Schools of the PAC-10

1 - Arizona

5 - Oregon State

9 - Washington

2 - Arizona State

6 - Stanford

0 - Washington State

3 - California

7 - UCLA

4 - Oregon

8 - USC

Use systematic sampling selecting every second number from the population to identify five schools out of the ten as a sample. The following random numbers table has already been used to randomly select the first school, USC. What are the other four schools in the sample?

1

0

4

8

0

2

2

3

6

8

2

4

1

3

0

4

2

1

6

7

3

7

5

7

0

7

7

9

2

1

9

9

5

6

2

9

6

8

0

1

8

9

5

7

9

8

5

8

7

5

2

8

9

1

8

6

3

8

5

3

0

9

4

2

9

1

0

3

6

5

1

0

3

6

5

0

7

2

1

9

5

1

0

8

5

0

2

3

6

8

0

1

0

1

1

5

2

1

6

2

A)

Washington, Washington State, Arizona, Arizona State

B)

Arizona, California, Oregon State, UCLA

C)

Washington State, Arizona State, Oregon, Stanford

D)

USC, USC, California, Arizona State

The PAC-10 Conference consists of ten schools.

Schools of the PAC-10

1 - Arizona

5 - Oregon State

9 - Washington

2 - Arizona State

6 - Stanford

0 - Washington State

3 - California

7 - UCLA

4 - Oregon

8 - USC

Use systematic sampling selecting every second number from the population to identify five schools out of the ten as a sample. The following random numbers table has already been used to randomly select the first school, USC. What are the other four schools in the sample?

1

0

4

8

0

2

2

3

6

8

2

4

1

3

0

4

2

1

6

7

3

7

5

7

0

7

7

9

2

1

9

9

5

6

2

9

6

8

0

1

8

9

5

7

9

8

5

8

7

5

2

8

9

1

8

6

3

8

5

3

0

9

4

2

9

1

0

3

6

5

1

0

3

6

5

0

7

2

1

9

5

1

0

8

5

0

2

3

6

8

0

1

0

1

1

5

2

1

6

2

A)

Washington, Washington State, Arizona, Arizona State

B)

Arizona, California, Oregon State, UCLA

C)

Washington State, Arizona State, Oregon, Stanford

D)

USC, USC, California, Arizona State

The PAC-10 Conference consists of ten schools.

Schools of the PAC-10

1 - Arizona

5 - Oregon State

9 - Washington

2 - Arizona State

6 - Stanford

0 - Washington State

3 - California

7 - UCLA

4 - Oregon

8 - USC

Use systematic sampling selecting every second number from the population to identify five schools out of the ten as a sample. The following random numbers table has already been used to randomly select the first school, USC. What are the other four schools in the sample?

1

0

4

8

0

2

2

3

6

8

2

4

1

3

0

4

2

1

6

7

3

7

5

7

0

7

7

9

2

1

9

9

5

6

2

9

6

8

0

1

8

9

5

7

9

8

5

8

7

5

2

8

9

1

8

6

3

8

5

3

0

9

4

2

9

1

0

3

6

5

1

0

3

6

5

0

7

2

1

9

5

1

0

8

5

0

2

3

6

8

0

1

0

1

1

5

2

1

6

2

A)

Washington, Washington State, Arizona, Arizona State

B)

Arizona, California, Oregon State, UCLA

C)

Washington State, Arizona State, Oregon, Stanford

D)

USC, USC, California, Arizona State

Explanation / Answer

When the first school is USC -> labeled as 8

Since it is systematic sampling, selections will be in systematic way.

Next 4 values in columns having cell value as 8

1)     3,7,6,7 -> California, UCLA, Stanford, UCLA

2)     7,1,1,5 -> UCLA, Arizona, Arizona, Oregon State

3)     8,8,3,2 -> USC, USC, California, Arizona State

4)     2,0,1,5 -> Arizona State, Washington State, Arizona, Oregon State

5)     9,0,1,1 -> Washington, Washington State, Arizona, Arizona

6)     9,5,5,1 -> Washington, Oregon State, Oregon State, Arizona

7)     6,1,1,0 -> Stanford, Arizona, Arizona, Washington State

So, only matching option is D) USC, USC, California, Arizona State

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