9.23 Researchers conducted a study of the effects of three drugs on the fat content of the shoulder muscles in labrador retrievers. They divided 80 dogs at random into four treatment groups. The dogs in group A were the untreated controls, while groups B, C, and D received one of three new heartworm medications in their diets. Five dogs randomly selected from each of the four groups received treatment for periods varying fat content of the shoulder muscles was determined and is given here. from 4 months to 2 years. The percentage of Treatment Group Examination Time 4 months 2.84 2.49 2.43 1.85 2.42 2.73 2.07 2.83 2.59 2.53 2.73 1.95 2.67 2.79 2.94 2.45 2.49 2.95 2.05 2.31 2.53 2.73 2.65 2.84 2.92 2.91 2.42 2.61 2.31 2.53 2.32 2.36 8 months 2.48 2.48 2.04 2.65 1 year 2.70 2.70 2.81 2.70 2.75 2.62 2.50 2.05 2.13 2.64 2.90 3.02 3.78 2.96 2.87 2 years 3.71 2.95 3.01 3.21 2.89 2.19 2.45 2.411 Mean 2.698 Under the assumption that conditions for an AOV were met, the researchers then computed an AOV to evaluate the difference in mean percentages of fat content for dogs under the four treat ments. The AOV computations did not takes into account the length of time on the medication. The AOV is given here. df MS F ratio Treatments 1.0796 3599 9.0372 1189 3.03 Totals 79 10.1168 a. Is there a significant difference in the mean percentages of fat content in the four treatment groups? Use a 05 b. Do any of the three treatments for heartworm appear to have increased the mean percentage of fat content over the level in the control group?

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9.23

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9.23 Researchers conducted a study of the effects of three drugs on the fat content of the
shoulder muscles in labrador retrievers. They divided 80 dogs at random into four treatment
groups. The dogs in group A were the untreated controls, while groups B, C, and D received one
of three new heartworm medications in their diets. Five dogs randomly selected from each of the
four groups received treatment for periods varying
fat content of the shoulder muscles was determined and is given here.
from 4 months to 2 years. The percentage of
Treatment Group
Examination Time
4 months
2.84
2.49
2.43
1.85
2.42
2.73
2.07
2.83
2.59
2.53
2.73
1.95
2.67
2.79
2.94
2.45
2.49
2.95
2.05
2.31
2.53
2.73
2.65
2.84
2.92
2.91
2.42
2.61
2.31
2.53
2.32
2.36
8 months
2.48
2.48
2.04
2.65
1 year
2.70
2.70
2.81
2.70
2.75
2.62
2.50
2.05
2.13
2.64
2.90
3.02
3.78
2.96
2.87
2 years
3.71
2.95
3.01
3.21
2.89
2.19
2.45
2.411
Mean
2.698
Under the assumption that conditions for an AOV were met, the researchers then computed an
AOV to evaluate the difference in mean percentages of fat content for dogs under the four treat
ments. The AOV computations did not takes into account the length of time on the medication.
The AOV is given here.
df
MS
F ratio
Treatments
1.0796 3599
9.0372 1189
3.03
Totals
79
10.1168
a. Is there a significant difference in the mean percentages of fat content in the four
treatment groups? Use
a 05
b. Do any of the three treatments for heartworm appear to have increased the
mean percentage of fat content over the level in the control group?
Transcribed Image Text:9.23 Researchers conducted a study of the effects of three drugs on the fat content of the shoulder muscles in labrador retrievers. They divided 80 dogs at random into four treatment groups. The dogs in group A were the untreated controls, while groups B, C, and D received one of three new heartworm medications in their diets. Five dogs randomly selected from each of the four groups received treatment for periods varying fat content of the shoulder muscles was determined and is given here. from 4 months to 2 years. The percentage of Treatment Group Examination Time 4 months 2.84 2.49 2.43 1.85 2.42 2.73 2.07 2.83 2.59 2.53 2.73 1.95 2.67 2.79 2.94 2.45 2.49 2.95 2.05 2.31 2.53 2.73 2.65 2.84 2.92 2.91 2.42 2.61 2.31 2.53 2.32 2.36 8 months 2.48 2.48 2.04 2.65 1 year 2.70 2.70 2.81 2.70 2.75 2.62 2.50 2.05 2.13 2.64 2.90 3.02 3.78 2.96 2.87 2 years 3.71 2.95 3.01 3.21 2.89 2.19 2.45 2.411 Mean 2.698 Under the assumption that conditions for an AOV were met, the researchers then computed an AOV to evaluate the difference in mean percentages of fat content for dogs under the four treat ments. The AOV computations did not takes into account the length of time on the medication. The AOV is given here. df MS F ratio Treatments 1.0796 3599 9.0372 1189 3.03 Totals 79 10.1168 a. Is there a significant difference in the mean percentages of fat content in the four treatment groups? Use a 05 b. Do any of the three treatments for heartworm appear to have increased the mean percentage of fat content over the level in the control group?
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