Zoologists are studying weights of captive timber wolves in three countries: the United States, England, and Japan. They want to compare the average weigh the captive wolves to see if there is a difference. A random sample of reported weights was taken. Let a = 0.05. Sum of Squares Mean Source of Variation df Squares Between Groups 389.04 2 194.52 6.6998 Within Groups 696.81 24 29.03375 Total 1,085.85 26 Summary data are in the table below. United England Japan States 10 Mean 66.4 60.2 57.4

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Zoologists are studying weights of captive timber wolves in three countries: the United States, England, and Japan. They want to compare the average weights of
the captive wolves to see if there is a difference. A random sample of reported weights was taken. Let a = 0.05.
Sum of
Mean
Source of Variation
df
Squares
Squares
Between Groups
389.04
2
194.52
6.6998
Within Groups
696.81
24
29.03375
Total
1,085.85
26
Summary data are in the table below.
United
England
Japan
States
n
10
Mean
66.4
60.2
57.4
Standard
4.7
5.9
5.6
Deviation
(a) What is the q critical value? (Use a table. Round your answer to two decimal places.)
What is the number of intervals required?
(b) Give the interval for the true difference in the mean weights of captive wolves in the United States and Japan. (Round your answers to three decimal
places.)
(c) Determine whether the following statement is true or false.
The interval (-3.735, 9.335) is significant at a = 0.05.
True
False
Transcribed Image Text:Zoologists are studying weights of captive timber wolves in three countries: the United States, England, and Japan. They want to compare the average weights of the captive wolves to see if there is a difference. A random sample of reported weights was taken. Let a = 0.05. Sum of Mean Source of Variation df Squares Squares Between Groups 389.04 2 194.52 6.6998 Within Groups 696.81 24 29.03375 Total 1,085.85 26 Summary data are in the table below. United England Japan States n 10 Mean 66.4 60.2 57.4 Standard 4.7 5.9 5.6 Deviation (a) What is the q critical value? (Use a table. Round your answer to two decimal places.) What is the number of intervals required? (b) Give the interval for the true difference in the mean weights of captive wolves in the United States and Japan. (Round your answers to three decimal places.) (c) Determine whether the following statement is true or false. The interval (-3.735, 9.335) is significant at a = 0.05. True False
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