The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is movie ticket prices, and the groups are the geographical regions where the theaters are located (suburban, rural, urban). Round answers to at least 4 decimal places.
Suburb | Rural | Urban |
---|---|---|
12.5 | 10.75 | 12.25 |
12 | 11.75 | 10.75 |
11.25 | 12 | 10.25 |
13 | 12.25 | 12.25 |
11.75 | 11.75 | 11.75 |
12.5 | 12 | 11 |
12.25 | 12.5 | 10.75 |
11.5 | 12.25 | 13.75 |
11 | 11.5 | 9.5 |
11 | 11.25 | 12.75 |
12.75 | 11.75 | 11.25 |
12 | 12.25 | 12.5 |
12.25 | 11.5 | 11.25 |
11 | 11.5 | 12.75 |
13.5 | 11.25 | 11.5 |
12.5 | 13.5 | 10.5 |
13.25 | 12.5 | 10.5 |
Conduct a one-way ANOVA to determine if the group means are equal using .
Group means:
Suburb:
Rural:
Urban:
Fill in the summary table for the ANOVA test:
SS | df | MS | |
Between | |||
Within | |||
Total |
From this table, obtain the necessary statistics for the ANOVA:
ANOVA summary statistics:
Test Statistic =
p-value =
Conclusion: