1 23456789 Bowl 157.5 84.5 134 74 108 107.5 106 163 54 Fountain 164.5 51.5 250 139 113 124.5 95.5 70.5 30.5

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Question

A study in the Journal of Veterinary Behavior compared daily water consumption, in mL, of domestic cats under two
treatments: water presented in a bowl or flowing water available from a motorized fountain. Each cat participated in
both treatments on different days (the order of the treatments was randomized). 
a) In a few sentences, explain why it’s a better idea to test the same cats in both treatments, rather than using
two independent samples.
b) Perform a Shapiro-Wilk test on the differences and report your p-value. Is it reasonable to assume the
differences are normally distributed?
c) Veterinarians often suggest providing a water fountain to cats who need to increase their water intake.
Perform 7 steps of the appropriate hypothesis test to determine if there is convincing evidence at α = 0.05
that cats tend to drink more water from fountains than from a bowl.

1
23456789
Bowl
157.5
84.5
134
74
108
107.5
106
163
54
Fountain
164.5
51.5
250
139
113
124.5
95.5
70.5
30.5
Transcribed Image Text:1 23456789 Bowl 157.5 84.5 134 74 108 107.5 106 163 54 Fountain 164.5 51.5 250 139 113 124.5 95.5 70.5 30.5
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