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A researcher wants to examine differences in depression based on location in the

ID: 3156653 • Letter: A

Question

A researcher wants to examine differences in depression based on location in the United States. The researcher collects Beck Depression Inventory Scores (BDI) from individuals in 3 states. Below are the data

Is the depression variable, BDI, normally distributed? Provide evidence to support your answer.

Use SPSS to conduct the appropriate test to determine if the states differ on depression and report the result of the test. Please report and interpret your results below.

According to a Tukey’s Post-hoc comparison, depression differs between which states?

State

Depression

Washington

45

Washington

51

Washington

39

Washington

63

Washington

44

Washington

19

Washington

29

Washington

34

Washington

36

Washington

39

Washington

39

Washington

59

Washington

46

Washington

50

Washington

51

Texas

7

Texas

3

Texas

18

Texas

9

Texas

7

Texas

6

Texas

6

Texas

16

Texas

12

Texas

9

Texas

8

Texas

13

Texas

2

Texas

0

Texas

0

North Carolina

36

North Carolina

39

North Carolina

41

North Carolina

41

North Carolina

33

North Carolina

29

North Carolina

40

North Carolina

43

North Carolina

49

North Carolina

51

North Carolina

59

North Carolina

63

North Carolina

55

North Carolina

49

North Carolina

48

State

Depression

Washington

45

Washington

51

Washington

39

Washington

63

Washington

44

Washington

19

Washington

29

Washington

34

Washington

36

Washington

39

Washington

39

Washington

59

Washington

46

Washington

50

Washington

51

Texas

7

Texas

3

Texas

18

Texas

9

Texas

7

Texas

6

Texas

6

Texas

16

Texas

12

Texas

9

Texas

8

Texas

13

Texas

2

Texas

0

Texas

0

North Carolina

36

North Carolina

39

North Carolina

41

North Carolina

41

North Carolina

33

North Carolina

29

North Carolina

40

North Carolina

43

North Carolina

49

North Carolina

51

North Carolina

59

North Carolina

63

North Carolina

55

North Carolina

49

North Carolina

48

Explanation / Answer

H0: There is no difference between three treatment means

H1: Atleast one treatment mean is not same

alpha:5%

Test statistic:

F cal=79.649

From Excel

Conclsuion:

P vaue=0.000<0.05 we reject the null hypothesis. hence atleast one treatment mean is not same.

Tukey Test

ANOVA depression Sum of Squares df Mean Square F Sig. Between Groups 13186.844 2 6593.422 79.649 .000 Within Groups 3476.800 42 82.781 Total 16663.644 44
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