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# Critical Range for Tukey-Kramer

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Critical Range for Tukey-Kramer. See attached file for full problem description.

The null hypothesis tested is
H0: There is no significant difference in the population mean of downhill coasting speed of 4 brands of bi cycles
Here one way ANOVA can be used as there is only one categorical variable

b).
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 81.33333 3 27.11111 10.16667 0.004188 4.066181
Within Groups 21.33333 8 2.666667
Total 102.6667 11

c). Reject the null hypothesis, if the calculated value of F is grater than the critical value of F with 3,8 d.f at 0.05 significance level

d). since the calculated value of F is greater than the critical value, we, reject the null hypothesis.

e) Critical range of Tukey Kramer procedure is 3.15

f) The mean difference is 44.7 - 38 = 6.7 which is greater than the Critical range of Tukey Kramer procedure. Thus we can infer that there is significant difference in the population mean of Tornado & Shaw brands.

https://brainmass.com/statistics/analysis-of-variance/119450