1. Suppose a researcher collected data to compare whether dogs of different size
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Question
1. Suppose a researcher collected data to compare whether dogs of different size categories differen in average cost to a pet ownder. Dogs were categorized as small, medium, or large. Cost was calculated as the average annual amount spent on food, veterinary visits, and medications. The calculated F-statistic was 421.58. Given the test statistic, which of the following is true.
A. The F-statistic shows the vatiation within groups is larger than variation between groups, therefore, the researcher will likely conclude that there is an association between dog size and mean cost to the pet owner.
B. The F-statistic shows the variation within groups is larger than variation between groups,therefore, the researcher will likely conclude that there is not an association between dog size and mean cost to the pet owner.
C. The F-statistics shows the variation between groups is larger than variation within groups, therefore, the researcher will likely conclude that there is an association between dog size and mean cost to the pet owner.
D. The F-statistics shows the variation between groups is larger than variation within groups, therefore, the researcher will likely concluede that there is not an association between dog size and mean cost to the pet owner.
Explanation / Answer
The formula of F statistic is:
MSB/MSW
Thus since the F statistic is 421.58 that is greater than 1, then the following statement is true:
D. The F-statistics shows the variation between groups is larger than variation within groups, therefore, the researcher will likely conclude that there is not an association between dog size and mean cost to the pet owner.
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