A school district has four schools, six class in from each school were randomly selected and the number of students in the class were recorded. Test the claim that at least one school has a different class size at a 0.01 level of significance.
School A | School B | School C | School D |
44 | 43 | 37 | 30 |
45 | 50 | 33 | 32 |
49 | 40 | 35 | 35 |
47 | 40 | 32 | 25 |
29 | 47 | 40 | 31 |
32 | 31 | 33 | 29 |
The hypotheses for this ANOVA test would be:
H0:μA=μB=μC=μDH0:μA=μB=μC=μD
HA:HA: At least one mean is different. (claim)
α=0.01α=0.01
Complete the ANOVA table below: (round answers to 3 decimal places)
For the given data usins Anova single factor in Excel we get output as
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