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Anova and confidence intervals

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Using the confidence intervals: 95%
Determine which groups differ in average shelf life.
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

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Solution Summary

The expert examines an ANOVA and confidence interval. The average shelf life of different groups are given. The solution answers the question(s) below.

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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 provided by:
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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