ifty-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. Correlation Results Correlation​ coeff, r: 0.955111 Critical​ r: ±0.2680855 ​P-value (two​ tailed): 0.000         Determine the null and alternative hypotheses.

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Author:Amos Gilat
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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.
Correlation Results
Correlation​ coeff, r:
0.955111
Critical​ r:
±0.2680855
​P-value (two​ tailed):
0.000
 
 
 
 
Determine the null and alternative hypotheses.
 
H0​:
ρ
less than<
not equals≠
less than<
greater than>
equals=
nothing
H1​:
ρ
 
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