1. A psychologist would like to research if the Hope scale (Synder, et al., 1991) scores differ between those living in City A, City B and City C. The 12-item scale consisted of two subscales: a 6-item agency subscale and a 6-item pathways subscales. Scores on each subscale were combined to create total hope score, with higher scores indicating higher levels of hope. The following scores were obtained. Use One-way Analysis of the Variance, alpha at .05 2 tail City A City B City C 80 62 40 78 67 20 78 76 55 78 72 92 78 90 62 65 20 55 80 30 63 64 72 67 30 30 40 20 10 30 1. Alternative hypothesis: 2. Null hypothesis: 3. F obtained: 4. F critical: 5. df: 6. Eta Squared: 7. P value: 8. Decision:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Step by Step Hand Computation of numbers 4-8.

1. A psychologist would like to research if the Hope scale (Synder, et al., 1991) scores differ between
those living in City A, City B and City C. The 12-item scale consisted of two subscales: a 6-item agency
subscale and a 6-item pathways subscales. Scores on each subscale were combined to create total
hope score, with higher scores indicating higher levels of hope. The following scores were obtained.
Use One-way Analysis of the Variance, alpha at .05 2 tail
City A
City B
City C
80
78
76
78
92
90
78
62
55
63
62
64
55
72
78
72
67
65
80
67
40
30
30
40
20
10
20
20
30
30
1. Alternative hypothesis:
2. Null hypothesis:
3. F obtained:
4. F critical:
5. df:
6. Eta Squared:
7. P value:
8. Decision:
Transcribed Image Text:1. A psychologist would like to research if the Hope scale (Synder, et al., 1991) scores differ between those living in City A, City B and City C. The 12-item scale consisted of two subscales: a 6-item agency subscale and a 6-item pathways subscales. Scores on each subscale were combined to create total hope score, with higher scores indicating higher levels of hope. The following scores were obtained. Use One-way Analysis of the Variance, alpha at .05 2 tail City A City B City C 80 78 76 78 92 90 78 62 55 63 62 64 55 72 78 72 67 65 80 67 40 30 30 40 20 10 20 20 30 30 1. Alternative hypothesis: 2. Null hypothesis: 3. F obtained: 4. F critical: 5. df: 6. Eta Squared: 7. P value: 8. Decision:
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