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ates, two color variants of the Eastern Gray Squirrel-gray and black-are found in the rrels in a large forest wonders if there is a difference in the sizes of the two-color variants. rels of each color from a large forest and weighs them. The 40 black squirrels have a ard deviation of 2.1 ounces. The 40 gray squirrels have a mean weight of 19.2 ounces squirrels and µ₂ = the true mean weight of gray squirrels. nce at the a = 0.01 significance level of a difference in the mean weights of all gray and est? nce that the true mean weight of black squirrels is different than the true mean weight (20.3-19.2)-0 = = 2.46. 2.12 1.92 40 40 O versus Ha ₁ - μ₂ = 0. than 0.01.

ates, two color variants of the Eastern Gray Squirrel-gray and black-are found in the rrels in a large forest wonders if there is a difference in the sizes of the two-color variants. rels of each color from a large forest and weighs them. The 40 black squirrels have a ard deviation of 2.1 ounces. The 40 gray squirrels have a mean weight of 19.2 ounces squirrels and µ₂ = the true mean weight of gray squirrels. nce at the a = 0.01 significance level of a difference in the mean weights of all gray and est? nce that the true mean weight of black squirrels is different than the true mean weight (20.3-19.2)-0 = = 2.46. 2.12 1.92 40 40 O versus Ha ₁ - μ₂ = 0. than 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In many parts of the northern United States, two color variants of the Eastern Gray Squirrel-gray and black—are found in the same habitats. A scientist studying squirrels in a large forest wonders if there is a difference in the sizes of the two-color variants. He collects random samples of 40 squirrels of each color from a large forest and weighs them. The 40 black squirrels have a mean weight of 20.3 ounces and a standard deviation of 2.1 ounces. The 40 gray squirrels have a mean weight of 19.2 ounces and a standard deviation of 1.9 ounces. Let M₁ = the true mean weight of black squirrels and µ₂ = the true mean weight of gray squirrels. Do these data provide convincing evidence at the a = = 0.01 significance level of a difference in the mean weights of all gray and black Eastern Gray Squirrels in this forest? Which of the following is false? We do not have convincing evidence that the true mean weight of black squirrels is different than the true mean weight of gray squirrels. The standardized test statistic is t = (20.3-19.2)-0 2.12 1.92 = 2.46. 40 + 40 We want to test H。 : µ₁ − µ₂ ‡ 0 versus H₁ : µ₁ − µ₂ = 0. The P-value of this test is greater than 0.01.
Transcribed Image Text:In many parts of the northern United States, two color variants of the Eastern Gray Squirrel-gray and black—are found in the same habitats. A scientist studying squirrels in a large forest wonders if there is a difference in the sizes of the two-color variants. He collects random samples of 40 squirrels of each color from a large forest and weighs them. The 40 black squirrels have a mean weight of 20.3 ounces and a standard deviation of 2.1 ounces. The 40 gray squirrels have a mean weight of 19.2 ounces and a standard deviation of 1.9 ounces. Let M₁ = the true mean weight of black squirrels and µ₂ = the true mean weight of gray squirrels. Do these data provide convincing evidence at the a = = 0.01 significance level of a difference in the mean weights of all gray and black Eastern Gray Squirrels in this forest? Which of the following is false? We do not have convincing evidence that the true mean weight of black squirrels is different than the true mean weight of gray squirrels. The standardized test statistic is t = (20.3-19.2)-0 2.12 1.92 = 2.46. 40 + 40 We want to test H。 : µ₁ − µ₂ ‡ 0 versus H₁ : µ₁ − µ₂ = 0. The P-value of this test is greater than 0.01.
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