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3. 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. 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 the forest?

3. 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. 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 the forest?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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3. 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. 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 the forest? 4. Any Boston Celtics fan or archrival knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage is 53.3%. During this offseason, Shaq is working with an assistant coach on his free-throw technique. During the first 5 games of the next season, Shag made 26 of his 39 free-throw attempts. Do these results provide convincing evidence that Shaq has significantly improved his free-throw shooting? Carry out a significance test at the a = 0.05 level.
Transcribed Image Text:3. 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. 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 the forest? 4. Any Boston Celtics fan or archrival knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage is 53.3%. During this offseason, Shaq is working with an assistant coach on his free-throw technique. During the first 5 games of the next season, Shag made 26 of his 39 free-throw attempts. Do these results provide convincing evidence that Shaq has significantly improved his free-throw shooting? Carry out a significance test at the a = 0.05 level.
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