Question

you use critical range = 31.369 for all (the sample sizes are equal). Conduct the Tukey-...

you use critical range = 31.369 for all (the sample sizes are equal).

Conduct the Tukey- Kramer procedure with alpha= 0.05 level, q0.95 = 3.38 (from Stundentized range table).

The sample means(average) are given in the table below.

Summary

Groups Count Average Variance
City 1 30 236.2393 334.11
City 2 30 344.0701 2201.818
City 3 30 201.503

2215

What is your conclusion

Math   Statistics-And-Probability   
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Answer #1
Groups Count Average Variance SSB SSE
City 1 30 236.2393 334.11 17809.35 9689.19
City 2 30 344.0701 2201.818 208997 63852.722
City 3 30 201.503 2215 104788.3 64235
Grand Mean 260.6041 SSB SSE
331594.7 137776.912
Source SS df MS F p-value
Bet 331594.7 2 165797.3 104.6937 0
Wit 137776.9 87 1583.643
Total 469371.6 89
Q 3.38
MSE 1583.643
Groups Mean Difference Lower Bound Upper Bound Significant Difference
City 1 - 2 -107.831 -132.388 -83.2733 Yes
City 1 - 3 34.7363 10.17877 59.29383 Yes
City 2 - 3 142.5671 118.0096 167.1246 Yes

There is a significant difference between all the groups.

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