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 conc

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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