Let X and Y denote the heights of blue spruce trees, measured in centimeters, growing in two large fields. We shall compare these heights by measuring 12 trees selected at random from each of the fields. Take a ≈ 0.05, and use the statistic W-the sum of the ranks of the observations of Y in the combined sample-to test the hypothesis Ho: mx = my against the alternative hypoth- esis H₁: mx < my on the basis of the following n₁ = 12 observations of X and n₂ = 12 observations of Y. x: 90.4 77.2 75.9 83.2 84.0 90.2 87.6 67.4 77.6 69.3 83.3 72.7 y: 92.7 78.9 82.5 88.6 95.0 94.4 73.1 88.3 90.4 86.5 84.7 87.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Let X and Y denote the heights of blue spruce
trees, measured in centimeters, growing in two large
fields. We shall compare these heights by measuring 12
trees selected at random from each of the fields. Take
a ≈ 0.05, and use the statistic W-the sum of the ranks of
the observations of Y in the combined sample-to test the
hypothesis Ho: mx = my against the alternative hypoth-
esis H₁: mx < my on the basis of the following n₁ = 12
observations of X and n₂ = 12 observations of Y.
x: 90.4 77.2 75.9 83.2 84.0
90.2
87.6
67.4
77.6
69.3
83.3
72.7
y:
92.7
78.9
82.5
88.6
95.0
94.4
73.1 88.3 90.4
86.5 84.7
87.5
Transcribed Image Text:Let X and Y denote the heights of blue spruce trees, measured in centimeters, growing in two large fields. We shall compare these heights by measuring 12 trees selected at random from each of the fields. Take a ≈ 0.05, and use the statistic W-the sum of the ranks of the observations of Y in the combined sample-to test the hypothesis Ho: mx = my against the alternative hypoth- esis H₁: mx < my on the basis of the following n₁ = 12 observations of X and n₂ = 12 observations of Y. x: 90.4 77.2 75.9 83.2 84.0 90.2 87.6 67.4 77.6 69.3 83.3 72.7 y: 92.7 78.9 82.5 88.6 95.0 94.4 73.1 88.3 90.4 86.5 84.7 87.5
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