Question

In an observational study of University of toronto varsity teams, random samples from six teams (with height measured in inches) provided the output below. Unfortunately, when one of the players rehydrated, they splashed excess water on the table, washing away some of the numbers.

ANOVA table

Source	df	SS	MS	F-Stat	P-value
Treatment		122.679			0.0241
Error			9.066
Total	114

Assume all assumptions and conditions are satisfied. Carry out an appropriate hypothesis test to test for any differences in average height among the six teams. What is the conclusion at the 2% significance level?

Select one:

a. There is insufficient evidence to conclude the average heights among the six teams are all different.

b. There is insufficient evidence to conclude there are some differences in average height among the six teams.

c. There is sufficient evidence to conclude there are some differences in average height among the six teams.

d. There is sufficient evidence to conclude the average heights among the six teams are all the same.

e. There is sufficient evidence to conclude the average heights among the six teams are all different.

Answer 1

d. There is sufficient evidence to conclude the average heights among the six teams are all the same.

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