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 44Related Questions
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