Reconsider the output from the previous question: Depression 18 to 29 30 to 39 40 to 49 50 to 59 Total Depression Levene Statistic 2.764 N Test of Homogeneity of Variances Depression 20 20 20 20 80 Between Groups Within Groups Total df1 Mean Std. Deviation Std. Error 9.7850 2.96074 .66204 12.2365 4.05418 .90654 14.4460 5.37922 1.20283 15.6450 5.23052 1.16958 13.0281 4.96634 55525 3 df2 Sum of Squares 400.059 1548.437 1948.496 76 Sig. ANOVA Depression Assume equal variances 052 df 3 76 79 Descriptives Contrast 1 Does not assume equal 1 variances Mean Square 133.353 20.374 Contrast Which of the following statements is correct? 95% Confidence Interval for Mean Lower Bound 8.3993 10.3391 11.9284 13.1970 11.9229 Contrast Tests Value of Contrast 18 to 29 1 Contrast Coefficients AgeGroup F 6.545 -2.4515 -2.4515 Upper Bound 11.1707 14.1339 16.9636 18.0930 14.1333 30 to 39 -1 Sig. .001 Std. Error 1.42738 1.12255 Minimum 40 to 49 0 df 4.86 3.89 5.92 5.51 3.89 Maximum 15.40 21.00 50 to 59 0 t -1.717 76 -2.184 34.778 25.50 23.65 25.50 Sig. (2-tailed) .090 .036 O As expected, the depression levels for 18 to 29 year olds is higher than that of the 30 to 39 year olds. O As expected, the depression levels for 18 to 29 year olds is lower than that of the 30 to 39 year olds. As expected, the depression levels for 18 to 29 year olds is different to that of the 30 to 39 year olds. O There is insufficient evidence to suggest that there is a difference between 18 to 29 year olds and 30 to 39 year olds for depression levels.
Reconsider the output from the previous question: Depression 18 to 29 30 to 39 40 to 49 50 to 59 Total Depression Levene Statistic 2.764 N Test of Homogeneity of Variances Depression 20 20 20 20 80 Between Groups Within Groups Total df1 Mean Std. Deviation Std. Error 9.7850 2.96074 .66204 12.2365 4.05418 .90654 14.4460 5.37922 1.20283 15.6450 5.23052 1.16958 13.0281 4.96634 55525 3 df2 Sum of Squares 400.059 1548.437 1948.496 76 Sig. ANOVA Depression Assume equal variances 052 df 3 76 79 Descriptives Contrast 1 Does not assume equal 1 variances Mean Square 133.353 20.374 Contrast Which of the following statements is correct? 95% Confidence Interval for Mean Lower Bound 8.3993 10.3391 11.9284 13.1970 11.9229 Contrast Tests Value of Contrast 18 to 29 1 Contrast Coefficients AgeGroup F 6.545 -2.4515 -2.4515 Upper Bound 11.1707 14.1339 16.9636 18.0930 14.1333 30 to 39 -1 Sig. .001 Std. Error 1.42738 1.12255 Minimum 40 to 49 0 df 4.86 3.89 5.92 5.51 3.89 Maximum 15.40 21.00 50 to 59 0 t -1.717 76 -2.184 34.778 25.50 23.65 25.50 Sig. (2-tailed) .090 .036 O As expected, the depression levels for 18 to 29 year olds is higher than that of the 30 to 39 year olds. O As expected, the depression levels for 18 to 29 year olds is lower than that of the 30 to 39 year olds. As expected, the depression levels for 18 to 29 year olds is different to that of the 30 to 39 year olds. O There is insufficient evidence to suggest that there is a difference between 18 to 29 year olds and 30 to 39 year olds for depression levels.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Question
Transcribed Image Text:Researchers were interested in comparing the depression levels for Australian adults from four different age groups (18 to 29; 30 to 39; 40 to 49; and 50 to 59). They
suggested that depression levels for 18 to 29 year olds would be lower compared to 30 to 39 year olds. They also expected this difference in depression levels to be greater
for females than for males. Note: depression levels were measured on a metric scale, with higher values indicating higher levels of depression.
Which of the options below best describes the presented research design?
Transcribed Image Text:Question 10
Reconsider the output from the previous question:
Depression
18 to 29
30 to 39
40 to 49
50 to 59
Total
Depression
Levene
Statistic
2.764
Test of Homogeneity of Variances
Depression.
N
Between Groups
Within Groups
Total
Depression
Mean
9.7850
20
20
12.2365
20
14.4460
15.6450
20
80 13.0281
df1
3
Sum of
Squares
df2
400.059
1548.437
1948.496
Std. Deviation
2.96074
4.05418
5.37922 1.20283
1.16958
5.23052
4.96634
.55525
76
Sig.
df
ANOVA
.052
3
76
79
Assume equal variances
1
Does not assume equal 1
variances
Descriptives
Contrast
Std. Error
.66204
.90654
Contrast
Mean Square
133.353
20.374
1
Which of the following statements is correct?
95% Confidence Interval for
Mean
Lower Bound
8.3993
10.3391
11.9284
13.1970
11.9229
Contrast Tests
Value of
Contrast
18 to 29
1
Contrast Coefficients
AgeGroup
F
6.545
-2.4515
-2.4515
Upper Bound
11.1707
14.1339
16.9636
18.0930
14.1333
30 to 39
-1
Sig.
.001
Std. Error
1.42738
1.12255
Minimum
40 to 49
0
t
-1.717
-2.184
df
4.86
3.89
5.92
5.51
3.89
50 to 59
0
76
Maximum
15.40
21.00
25.50
23.65
25.50
34.778
Sig. (2-tailed)
.090
.036
As expected, the depression levels for 18 to 29 year olds is higher than that of the 30 to 39 year olds.
As expected, the depression levels for 18 to 29 year olds is lower than that of the 30 to 39 year olds.
As expected, the depression levels for 18 to 29 year olds is different to that of the 30 to 39 year olds.
○ There is insufficient evidence to suggest that there is a difference between 18 to 29 year olds and 30 to 39 year olds for depression levels.
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