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
α = 0.05.
Source of Variation | Sum of Squares |
df | Mean Squares |
F |
---|---|---|---|---|
Between Groups | 389.04 | 2 | 194.52 | 6.8587 |
Within Groups | 680.67 | 24 | 28.36125 | |
Total | 1,069.71 | 26 |
Summary data are in the table below.
United States |
England | Japan | |
---|---|---|---|
n | 10 | 9 | 8 |
Mean | 66.2 | 60.0 | 57.2 |
Standard Deviation |
4.6 | 5.9 | 5.5 |
(a)
What is the q critical value? (Use a table. Round your answer to two decimal places.)
q =
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.)
(_____,_____)
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