Correlation Results Correlation​ coeff, r: 0.979882 Critical​ r: ±0.2680855 ​P-value (two​ tailed): 0.000 Fifty-four wild bears were​ anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest​ sizes? When measuring an anesthetized​ bear, is it easier to measure chest size than​ weight? If​ so, does it appear that a measured chest size can be used to predict the​ weight? Use a significance level of α=0.05. Determine the null and alternative hypotheses. Identify the correlation​ coefficient,

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 8P: Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different...
icon
Related questions
icon
Concept explainers
Question
Correlation Results
Correlation​ coeff, r:
0.979882
Critical​ r:
±0.2680855
​P-value (two​ tailed):
0.000
Fifty-four
wild bears were​ anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest​ sizes? When measuring an anesthetized​ bear, is it easier to measure chest size than​ weight? If​ so, does it appear that a measured chest size can be used to predict the​ weight? Use a significance level of
α=0.05.

Determine the null and alternative hypotheses.

Identify the correlation​ coefficient, r.

Identify the critical​ value(s).
​(Round to three decimal places as​ needed.)
 
A.
There are two critical values at
r= ±.
There is one critical value at
r=
 
Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest​ sizes? Choose the correct answer below​ and, if​ necessary, fill in the answer box within your choice.
​(Round to three decimal places as​ needed.)
 
A.
​Yes, because the test statistic 
falls between the critical values.
 
B.
​No, because the absolute value of the test statistic
exceeds the critical value.
 
C.
​Yes, because the absolute value of the test statistic
exceeds the critical value.
 
D.
​No, because the test statistic
falls between the critical values.
 
E.
The answer cannot be determined from the given information.
 
When measuring an anesthetized​ bear, is it easier to measure chest size than​ weight? If​ so, does it appear that a measured chest size can be used to predict the​ weight?
 
A.
​Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could be used to predict weight because there is a linear correlation between the two.
 
B.
​No, it is easier to measure weight than chest size because the chest is not a flat surface.
 
C.
​Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is not a linear correlation between the two.
 
D.
​Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is too much variance in the weight of the bears.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning