Answer:
Since p-value > ∝, H0 is accepted
Step-by-step explanation:
Calculating gives the following results.
<u>ANOVA Table</u>
<u>Source DF Sum Mean F Statistic P-value</u>
<u> of Square Square</u>
Groups 6 191.61 31.935 0.020 0.999
(b/w groups)
Error
(within 14 21736.08 1552.577
<u> groups) </u>
<u>Total 20 21927.69 1096.385 </u>
1. H0 hypothesis
Since p-value > ∝, H0 is accepted.
Hence the averages of all groups considered to be equal.
Or the difference between the averages of all groups is not big enough to reject H0.
2. P-value
P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e (99.99%)
The bigger p-value supports H0.
3. The statistics
The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]