Individuals of various age groups (18-35; 36-55; 56-75) were asked about their trust (measured on a 20 point scale) in Liz Truss: Group 18-35 36-55 56-75 Sample Size 22 48 66 Mean 8.76 12.22 13.11 Std. Dev. 2.22 2.96 3.01 (a) Calculate the overall mean of trust in Liz Truss across all 3 age groups. (b) Calculate the variance for trust in Liz Truss across all 3 age groups. (c) Calculate the Between Sum of Squares (BSS) and the Within Sum of Squares (WSS).

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4. Individuals of various age groups (18-35; 36-55; 56-75) were asked about their trust
(measured on a 20 point scale) in Liz Truss:
Group
18-35
36-55
56-75
Sample Size
22
48
66
(a) Calculate the overall mean of trust in Liz Truss across all 3 age groups.
(b) Calculate the variance for trust in Liz Truss across all 3 age groups.
(c) Calculate the Between Sum of Squares (BSS) and the Within Sum of Squares (WSS).
1
Before 49
After 54
Mean
8.76
12.22
13.11
(d) At the 5% significance level, use an ANOVA analysis to test the hypothesis that the
mean trust in Liz Truss across the 3 age groups is the same.
2
50
55
In order to investigate the issue of sport on happiness, the table below shows the self-report
happiness scores of 8 English females asked before and then after the Women's European
Championship
Std. Dev.
2.22
2.96
3.01
3
4
61
66
67.8 80
5
65
77
6
47
54
7
66
65
8
52
66
(e) Use the Sign Rank test to test the null hypothesis of no difference in the average
happiness score at the 5% significance level.
Transcribed Image Text:4. Individuals of various age groups (18-35; 36-55; 56-75) were asked about their trust (measured on a 20 point scale) in Liz Truss: Group 18-35 36-55 56-75 Sample Size 22 48 66 (a) Calculate the overall mean of trust in Liz Truss across all 3 age groups. (b) Calculate the variance for trust in Liz Truss across all 3 age groups. (c) Calculate the Between Sum of Squares (BSS) and the Within Sum of Squares (WSS). 1 Before 49 After 54 Mean 8.76 12.22 13.11 (d) At the 5% significance level, use an ANOVA analysis to test the hypothesis that the mean trust in Liz Truss across the 3 age groups is the same. 2 50 55 In order to investigate the issue of sport on happiness, the table below shows the self-report happiness scores of 8 English females asked before and then after the Women's European Championship Std. Dev. 2.22 2.96 3.01 3 4 61 66 67.8 80 5 65 77 6 47 54 7 66 65 8 52 66 (e) Use the Sign Rank test to test the null hypothesis of no difference in the average happiness score at the 5% significance level.
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