1. A sociologist is interested in whether or not level of parental occupation af
ID: 3226172 • Letter: 1
Question
1. A sociologist is interested in whether or not level of parental occupation affects anxiety scores among ninth-grade students. The data below are scores on standardized anxiety test for students with parents in different occupation levels. Test appropriate hypothesis using alpha = 0.05. (20 points)
Occupational Level
1
2
3
8
23
21
6
11
21
4
17
22
12
16
18
16
6
14
17
14
21
12
15
9
10
19
11
11
10
13
Test the normality assumption. What is the conclusion about this assumption?
Test the homogeneity of the variance assumption. What is the conclusion about this assumption?
Complete ANOVA and state the results.
Complete post hoc test and state the results.
1
2
3
8
23
21
6
11
21
4
17
22
12
16
18
16
6
14
17
14
21
12
15
9
10
19
11
11
10
13
Explanation / Answer
Data is normal.
One-way ANOVA: 1_1, 2
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
Factor 2 1_1, 2
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 1 63.30 63.30 3.01 0.101
Error 17 357.12 21.01
Total 18 420.42
Model Summary
S R-sq R-sq(adj) R-sq(pred)
4.58336 15.06% 10.06% 0.00%
Means
Factor N Mean StDev 95% CI
1_1 10 10.90 4.09 ( 7.84, 13.96)
2 9 14.56 5.08 (11.33, 17.78)
Pooled StDev = 4.58336
Tukey Pairwise Comparisons
Grouping Information Using the Tukey Method and 95% Confidence
Factor N Mean Grouping
2 9 14.56 A
1_1 10 10.90 A
Means that do not share a letter are significantly different.
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