A balanced experimental design has a sample size of n=11 observations at each of k=3 factor levels. The sample averages are x¯1⋅=48.05,x¯2⋅=44.74, and

avissidep

avissidep

Answered question

2021-07-02

A balanced experimental design has a sample size of n=11 observations at each of k=3 factor levels. The sample averages are x1=48.05,x2=44.74,and x3=49.11,and MSE=4.96.
(a) Calculate pairwise confidence intervals for the factor level means with an overall confidence level of 95%.
(b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable.
(c) What additional sampling would you recommend to reduce the lengths of the pairwise confidence intervals to no more than 2.0 ?

Answer & Explanation

opsadnojD

opsadnojD

Skilled2021-07-03Added 95 answers

a) μ11μ12(0.97,5.65)
μ11μ13(3.40,1.28)μ11μ13(6.67,2.03)
c) 50

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