A researcher is concerned about the level of knowledge possessed by university s
ID: 3362483 • Letter: A
Question
A researcher is concerned about the level of knowledge possessed by university students regarding United States history. Students completed a high school senior level standardized U.S. history exam. Major for students was also recorded. Data in terms of percent correct is recorded below for 32 students. The results are given in Table 1 below.
Education
Business/Management
Behavioral/Social Science
Fine Arts
62
57
82
70
81
34
52
57
75
48
47
87
58
53
80
64
67
24
49
28
48
48
74
29
26
25
68
51
36
41
77
65
Using these data, the researcher performed an ANOVA test, which resulted in the following ANOVA table (Table 2). Unfortunately, a few of the cells in the table have been lost.
SS
DF
MS
F
P-value
F crit
Treatments
2538.59
3
0.0478
Error
28
Total
10464.72
(Worth 3 points) Complete the ANOVA table using the known values in the table. (Round SS & MS to 2 decimal places. Round F, p-value and F-critical to 4 decimal places.)
(Worth 2 points) Based on this completed ANOVA table, can the researcher conclude that there is a significant difference between the four testing conditions? Use a 0.05 level of significance. Be sure to indicate hypotheses, decisions, and conclusions.
Education
Business/Management
Behavioral/Social Science
Fine Arts
62
57
82
70
81
34
52
57
75
48
47
87
58
53
80
64
67
24
49
28
48
48
74
29
26
25
68
51
36
41
77
65
Explanation / Answer
Ans:
SS(error)=SST-SS(treatments)=10464-2538.59=7926.13
MS=SS/df
F=MS(treatments)/MS(error)=2.9893
p-value=Fdist(2.9893,3,28)=0.0478
Fcritical=Finv(0.05,3,28)=2.9467
As,p-value<0.05,we reject null hypothesis.
We have sufficient evidence to conclude that there is a significant difference between the four testing conditions
SS DF MS F P-value F-critical Treatments 2538.59 3 846.20 2.9893 0.0478 2.9467 Error 7926.13 28 283.08 Total 10464.72 31Related Questions
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