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 a = 0.05.

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Critical r:
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 P-value (two tailed): 0.000
appear that a measured chest size can be used to predict the weight? Use a
significance level of a = 0.05.
OA. There is one critical value at r=
B. There are two critical values at r= ± 0.268
Correlation Results
Correlation coeff, r: 0.964493
+0.2680855
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.)
OA. Yes, because the absolute value of the test statistic exceeds the critical value.
B. Yes, because the test statistic
C. No, because the test statistic
falls between the critical values.
D. No, because the absolute value of the test statistic exceeds the critical value.
O E. The answer cannot be determined from the given information.
falls between the critical values.
Transcribed Image Text:Critical r: 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 P-value (two tailed): 0.000 appear that a measured chest size can be used to predict the weight? Use a significance level of a = 0.05. OA. There is one critical value at r= B. There are two critical values at r= ± 0.268 Correlation Results Correlation coeff, r: 0.964493 +0.2680855 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.) OA. Yes, because the absolute value of the test statistic exceeds the critical value. B. Yes, because the test statistic C. No, because the test statistic falls between the critical values. D. No, because the absolute value of the test statistic exceeds the critical value. O E. The answer cannot be determined from the given information. falls between the critical values.
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