review(15d): suppose a researcher collected data to compare whether dogs of different size differed in mean cost to a pet owner. Dogs were categorized as small, medium, or large. Costs were calculated as the aver age cost of the amount spend of food, veterinary visits and medication. The calculated F statistic was 421.58. Given this statistic, which of the following is the most reasonable conclusion. (a)The F statistic shows that variation within groups is larger than
review(15d):
suppose a researcher collected data to compare whether dogs of different size differed in mean cost
to a pet owner. Dogs were categorized as small, medium, or large. Costs were calculated as the aver
age cost of the amount spend of food, veterinary visits and medication. The calculated F statistic
was 421.58. Given this statistic, which of the following is the most reasonable conclusion.
(a)The F statistic shows that variation within groups is larger than variation between groups, therfore
the researcher will likely fail to reject the null hypothesis and conclude that there ia not an association
between dog size and mean cost to the pet owner.
(b) The F statistic shows that large dogs have a signifcantly higher cost to the pet owner than the
other catgories., therfore the researcher will reject the null hypotheses and conclude that large
dogs have a higher cost to the pet owner.
(c) THe F statistic shows that variation between groups is larger than varition within groups., therefore, the researcher will reject the null hypothesis and conclude that there is an
association between dog size and mean cost to the pet owner such that at least at least two of
the size groups differ.
(d) none of the above
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