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wild bears were​ anesthetized, and then their weights and chest sizes were measured and listed in...

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

alphaαequals=0.050.05.

Correlation Results

Correlation​ coeff, r:

0.9715040.971504

Critical​ r:

plus or minus±0.26808550.2680855

​P-value (two​ tailed):

0.000

Determine the null and alternative hypotheses.

Upper H 0H0​:

rhoρ

equals=

not equals≠

greater than>

less than<

nothing

Upper H 1H1​:

rhoρ

equals=

less than<

not equals≠

greater than>

nothing

​(Type integers or decimals. Do not​ round.)

r=?

Identify the critical value=

Is there sufficient evidence to support the claim that there is a linear correlation between weight of bears and chest size?

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