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Anova and confidence intervals

Using the confidence intervals: 95%
Determine which groups differ in average shelf life.
A B C D
94 88 76 82
100 89 69 80
90 88 76 82
97 83 79 78
101 79 80 89
90 82 72 80
give test statistic, hypothesis, decision rule and hypothesis

Solution Preview

Null Hypothesis:
Ho: mu1 - mu2 = 0
Alternative hypothesis:
H1: mu1 - mu2 != 0

Mean calculations:
<A> = sum(A)/6 = 572/6 =95.33
<b> = 509/6 = 84.83
<C> = 452/6 = 75.33
<D> = 491/6 = 81.83
sum((A-<A>)^2) = 115.33
sum((B-<b>)^2) = 82.83
sum((C-<C>)^2) = 87.83
sum((D-<D>)^2) = 72.57

If t(calculated) > t(table) => Ho rejected

for any combination: (like A and B)
sqrt((1/n1) + ...

Solution Summary

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