Question

2. A local café wants to know if there is a significant difference in how awake people feel (on a scale of 0 to 100) depending on the type of tea they drink in the morning. They recruited 6 people who drank only black tea, 6 people who drank only green tea and 6 people who drank only red tea. Given there is significant ANOVA, do a Fisher’s Post-Hoc test for this study. Set α = .01. Black Tea Green Tea Red Tea = 78 = 57 = 62 n1 = 6 n2 = 6 n3 = 6 MSerror (within) = 14

a) What is the critical value for the above test?

b) Compute all pairwise comparisons. Show your work!

c) Interpret your findings/results.

Answer 1

Level of significance   0.01
no. of treatments,k   3
DF error =N-k=   15
MSE   14.000
q-statistic value(α,k,N-k)   4.8400

a)

critical value = q*√(MSE/2*(1/ni+1/nj))  

= 7.39

b)

population mean difference	critical value	lower limit	upper limit	result
µ1-µ2	21.00	7.39	13.61	28.39	means are different
µ1-µ3	16.00	7.39	8.61	23.39	means are different
µ2-µ3	-5.00	7.39	-12.39	2.39	means are not different

c)

There is not any significant difference between mean 2 and mean 3. Rest all columns are different.

THANKS

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