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Anova: Single Factor b. Use Tukeys HSD method at the 5% significance level to determine which weekend days differ. (If the e

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Answer #1

Tukey Kramer test

Level of significance 0.05
no. of treatments,k 3
DF error =N-k= 153
MSE 1078.536
q-statistic value(α,k,N-k) 3.348
fridays satudays sundays
count, ni = 52 52 52
mean , x̅ i = 396.769 441.712 390.135

critical value = q*√(MSE/2*(1/ni+1/nj)) = 15.2476

confidence interval = mean difference ± critical value  
  
if confidence interval contans zero, then means are not different.  

confidence interval
population mean difference critical value lower limit upper limit result
µfridays-µsatudays -44.942 15.2476 -60.19 -29.69 yes,means are different
µfridays-µsundays 6.635 15.2476 -8.61 21.88 no, means are not different
µsaturdays-µsundays 51.577 15.2476 36.33 66.82 yes, means are different
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