Using the standard error of the differnece of means to answer this question in a
ID: 3229785 • Letter: U
Question
Using the standard error of the differnece of means to answer this question in a detailed step-by-step breakdown using the formula the proper formulas to find the standard error of the difference of means as well as find the degree of freedom, whether its two or one tailed test, critical value and caluclated values to either retain or reject the null: (do not use excel or spss)
The racism of eight white young adults, all convicted of committing an anti-Asian hate crime, was measured both before and after they had seen a film designed to reduce their racist attitudes. Using the following scores on an anti-Asian prejudice scale obtained by the eight subjects, test the null hypothesis that the film did not result in a reduction of racist attitudes. What do your results indicate?
Before
After
36
24
25
20
26
26
30
27
31
18
27
19
29
27
31
30
Before
After
36
24
25
20
26
26
30
27
31
18
27
19
29
27
31
30
Explanation / Answer
Data:
n = n1 = n2 = 8
d-bar = -5.5
s (of d) = 4.985693819
Hypotheses:
Ho: 1 = 2
Ha: 1 2
Decision Rule:
= 0.05
Degrees of freedom = 8 - 1 = 7
Lower Critical t- score = -2.364624251
Upper Critical t- score = 2.364624251
Reject Ho if |t| > 2.364624251
Test Statistic:
SE = s/n = 4.9856938190329/8 = 1.762708954
t = d-bar/SE = -5.5/1.76270895417901 = -3.120197459
p- value = 0.016839051
Decision (in terms of the hypotheses):
Since 3.120197459 > 2.365 we reject Ho and accept Ha
Conclusion (in terms of the problem):
There is sufficient evidence that the mean difference is not 0.
36 24 -12 25 20 -5 26 26 0 30 27 -3 31 18 -13 27 19 -8 29 27 -2 31 30 -1 d-bar = -5.5 s = 4.985693819Related Questions
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