e tor a who spent 3 hours preparing for the test? 9. The average annual snowfall

Question

e tor a who spent 3 hours preparing for the test? 9. The average annual snowfall in inches is to be compared for 4 US cities: (1) Dayton, (2) Denver, (3) Minneapolis, and (4) Detroit. A partially completed ANOVA table is givern. DF P-value 021 607.5 200 807.5 8.1 Treatment Error Total 25 a) State the null and alternative hypotheses for this ANOVA procedure. b) Using ANOVA, test the claim that the mean annual snowfall for the four U.S.cities are the same. c) The Tukey multiple comparison procedure was also performed on the snowfall data The resulting confidence intervals were obtained Which pairs have the same amount of snowfall? Which city gets the most snowfall? Which city gets the least snowfall? City Comparison (ui-L12) (4.55, -2.21) (-12.67, 9.86) (3.54, -0.45) (434. -1.97) (3.32, 101) 7.12, 10.45

Explanation / Answer

a) H0: There is no significance difference among the means of annual snowfall for the 4 US cities
H1: There is significance difference among the means of annual snowfall for the 4 US cities

b) P-value = 0.021 which is < alpha 0.05, so we reject H0
Thus we conclude that there is significance difference among the means of annual snowfall for the 4 US cities

c) (mu1-mu2) - significant
(mu1 - m3) - significant
(mu1 - mu4) - significant
(mu2 - mu3) - significant
(mu2 - mu4) - no significant since zero is contined in the interval
(mu3 - mu4) - significant

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