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Practice Problems Differentiating between relationship problems that use the following methods: Parametric Nonparametric
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Page 1: Parametric or non parametric relationship   practice problems

Practice Problems

Differentiating between relationship problems that use the following methods:

Parametric Nonparametric

Page 2: Parametric or non parametric relationship   practice problems

Problem #1

Page 3: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Advance the slide to see the options

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 4: Parametric or non parametric relationship   practice problems

Advance the slide to see the answer

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 5: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Advance the slide to see the explanation

Which is it?Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 6: Parametric or non parametric relationship   practice problems

Advance the slide to the next problem

Age is scaled and normally distributed

Blood Pressure is scaled and normally distributed

Explanation

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 7: Parametric or non parametric relationship   practice problems

Problem #2

Page 8: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.

Advance the slide to see the options

Students Blood Pressure

Reading

(Skewness = .23)

Gender

(1,2)

1 75 1

2 85 1

3 85 2

4 95 1

5 95 1

6 97 1

7 97 2

8 97 2

9 102 2

10 102 1

11 102 2

12 102 1

13 110 2

14 115 1

15 115 2

16 120 1

17 120 2

18 125 1

Page 9: Parametric or non parametric relationship   practice problems

Advance the slide to see the answer

The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.

Students Blood Pressure

Reading

(Skewness = .23)

Gender

(1,2)

1 75 1

2 85 1

3 85 2

4 95 1

5 95 1

6 97 1

7 97 2

8 97 2

9 102 2

10 102 1

11 102 2

12 102 1

13 110 2

14 115 1

15 115 2

16 120 1

17 120 2

18 125 1

Which is it?

ParametricNon-

Parametric

Page 10: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.

Advance the slide to see the explanation

Students Blood Pressure

Reading

(Skewness = .23)

Gender

(1,2)

1 75 1

2 85 1

3 85 2

4 95 1

5 95 1

6 97 1

7 97 2

8 97 2

9 102 2

10 102 1

11 102 2

12 102 1

13 110 2

14 115 1

15 115 2

16 120 1

17 120 2

18 125 1

Which is it?

ParametricNon-

Parametric

Page 11: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.

While the blood pressure variableis scaled and normally distributed,

the gender variable is nominal.

Explanation

Which is it?

Students Blood Pressure

Reading

(Skewness = .23)

Gender

(1,2)

1 75 1

2 85 1

3 85 2

4 95 1

5 95 1

6 97 1

7 97 2

8 97 2

9 102 2

10 102 1

11 102 2

12 102 1

13 110 2

14 115 1

15 115 2

16 120 1

17 120 2

18 125 1

ParametricNon-

Parametric

Advance the slide to the next problem

Page 12: Parametric or non parametric relationship   practice problems

Problem #3

Page 13: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Advance the slide to see the options

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 14: Parametric or non parametric relationship   practice problems

Advance the slide to see the answer

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 15: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Advance the slide to see the explanation

Which is it?Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

Page 16: Parametric or non parametric relationship   practice problems

Advance the slide to the next problem

While both variables are scaledand Age is normally distributed,Blood Pressure is skewed (3.32)

Explanation

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

Which is it?

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

3 85 31

4 95 32

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 54

11 102 59

12 102 70

13 110 62

14 115 46

15 115 65

16 120 77

17 120 52

18 125 79

ParametricNon-

Parametric

Page 17: Parametric or non parametric relationship   practice problems

Problem #4

Page 18: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.

Advance the slide to see the options

Students

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 34th 47

3 54th 31

4 49th 32

5 50th 43

6 51st 25

7 54th 48

8 55th 52

9 76th 65

10 77th 54

11 78th 59

12 79th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 19: Parametric or non parametric relationship   practice problems

Advance the slide to see the answer

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.

Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 34th 47

3 54th 31

4 49th 32

5 50th 43

6 51st 25

7 54th 48

8 55th 52

9 76th 65

10 77th 54

11 78th 59

12 79th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 20: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.

Advance the slide to see the explanation

Which is it?Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 34th 47

3 54th 31

4 49th 32

5 50th 43

6 51st 25

7 54th 48

8 55th 52

9 76th 65

10 77th 54

11 78th 59

12 79th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 21: Parametric or non parametric relationship   practice problems

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.

Advance the slide to the next problem

Because one of the variables isranked – the method

will be parametric.

Explanation

Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 34th 47

3 54th 31

4 49th 32

5 50th 43

6 51st 25

7 54th 48

8 55th 52

9 76th 65

10 77th 54

11 78th 59

12 79th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 22: Parametric or non parametric relationship   practice problems

Problem #5

Page 23: Parametric or non parametric relationship   practice problems

A political think take wants to determine if there is relationship between gender and support of Proposition “X”.

Advance the slide to see the options

Students Support (1) or Oppose (2)

Proposition “X”

Gender

(1,2)

1 1 1

2 1 1

3 2 2

4 1 1

5 1 1

6 2 1

7 1 2

8 2 2

9 2 2

10 1 1

11 2 2

12 1 1

13 1 2

14 2 1

15 2 2

16 1 1

17 2 2

18 2 1

Page 24: Parametric or non parametric relationship   practice problems

Advance the slide to see the answer

A political think take wants to determine if there is relationship between gender and support of Proposition “X”.

Which is it?

ParametricNon-

Parametric

Students Support (1) or Oppose (2)

Proposition “X”

Gender

(1,2)

1 1 1

2 1 1

3 2 2

4 1 1

5 1 1

6 2 1

7 1 2

8 2 2

9 2 2

10 1 1

11 2 2

12 1 1

13 1 2

14 2 1

15 2 2

16 1 1

17 2 2

18 2 1

Page 25: Parametric or non parametric relationship   practice problems

A political think take wants to determine if there is relationship between gender and support of Proposition “X”.

Advance the slide to see the explanation

Which is it?

ParametricNon-

Parametric

Students Support (1) or Oppose (2)

Proposition “X”

Gender

(1,2)

1 1 1

2 1 1

3 2 2

4 1 1

5 1 1

6 2 1

7 1 2

8 2 2

9 2 2

10 1 1

11 2 2

12 1 1

13 1 2

14 2 1

15 2 2

16 1 1

17 2 2

18 2 1

Page 26: Parametric or non parametric relationship   practice problems

A political think take wants to determine if there is relationship between gender and support of Proposition “X”.

Because both variables arenominal.

Explanation

Which is it?

ParametricNon-

Parametric

The End

Students Support (1) or Oppose (2)

Proposition “X”

Gender

(1,2)

1 1 1

2 1 1

3 2 2

4 1 1

5 1 1

6 2 1

7 1 2

8 2 2

9 2 2

10 1 1

11 2 2

12 1 1

13 1 2

14 2 1

15 2 2

16 1 1

17 2 2

18 2 1