You hypothesize that people who play board games are smarter than people who do not play board games. You compare intelligence scores in three groups: Catan Players, Carcassone Players, and people who do not play brain teasers. The data is as follows:
Catan Players (105,106,108,107,101)
Carcassone Players (107,107,103,102,104)
No Board Games (105,100,102,115,100)
The sum of squares between samples for the data is 31.60 and the sum of squares within groups is 380.4.
What is the Mean of Squares within samples (MSW)? Calculate to the nearest hundredths place (two decimal places).
What is the F-ratio? Calculate to the nearest hundredths place.
Using the critical value of F chart, you find that the critical value of F for this analysis is 3.89. Based on the F-value you calculated for this data, is your data significant? Do you accept or reject the null hypothesis?
A. Accept the null hypothesis because the F-value is significant
B. Reject the null hypothesis because the F-value is not significant
C. Reject the null hypothesis because the F-value is significant
D. Accept the null hypothesis because the F-value is not significant
Based on the results, would you conduct post-hoc analyses for this problem?
A. No, the F-value is significant so you do not need to conduct post hoc analyses.
B. No, the F-value is not significant so you do not need to conduct post hoc analyses
C. Yes, the F-value is not significant so you need to conduct post hoc analyses.
D. Yes, the F-value is significant so you do need to conduct post hoc analyses.
You hypothesize that people who play board games are smarter than people who do not play board games. You compare intelligence scores in three groups: Catan Players, Carcassone Players, and people who do not play brain teasers. The data is as follows:
Catan Players Carcassone Players No Board Games
105
107
105
106
107
100
108
103
120
107
102
115
101
104
100
The sum of squares between samples for the data is 31.60 and the sum of squares within groups is 380.4.
What is the Mean of Squares within samples (MSW)? Calculate to the nearest hundredths place (two decimal places)
