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Using Analysis of variance calculate test statistic and interpret the result.
Florida State University administers a mathematics placement test to students when they first enter the university. Researchers at the school wanted to determine if students from different high schools in Florida had similar or different scores on the test. Seven students from three high schools, Reynolds, Mt. Tabor, and West, were randomly selected for the study and their scores recorded.
Using the data below, perform the appropriate statistical test at the .05 level to conclude if the null hypothesis should be accepted or rejected.
Sl no
Reynolds
Mt. Tabor
West
1
10
15
20
2
12
17
3
9
19
4
18
5
16
23
6
14
7
8
13
11
Total
79
126
163
The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals:
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