A researcher is interested in investigating potential differences in intelligence among members of different sports/activity teams in high school. Specifically, the researcher is interested in differences in intelligence among Chess Team, Soccer Team, and Football Team members. To this end, the researcher gathered intelligence test (IQ) data on a random sample of chess, soccer, and football team members. The data collected for this study reside in the table below. Perform a one-way ANOVA to determine if significant differences in intelligence exist among the three teams. Please show all work for hand calculations.
Chess |
Soccer |
Football |
113 |
103 |
100 |
116 |
108 |
102 |
115 |
109 |
103 |
115 |
102 |
96 |
125 |
104 |
98 |
130 |
109 |
99 |
1. Calculate the group means and grand mean and put your answers in the spaces provided.
Chess______ Soccer_______ Football_______
Grand Mean_______
2. Please write the null hypothesis for this analysis in both equation and written form.
3. Please write the research hypothesis for this analysis in both equation and written form.
4. Fill in the source table below based on your calculations:
Source |
SS |
df |
MS |
F |
Between-Groups |
||||
Within-Groups |
||||
Total |
A researcher is interested in investigating potential differences in intelligence among members of different sports/activity teams...
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