lity-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Correlation Results 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. Correlation coeff, r: 0.966175 Critical r: ±0.268085 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. Ho P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) r= Identify the critical value(s). (Round to three decimal places as needed.) OA. There is one critical ualu

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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. Correlation Results
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.
Correlation coeff, r: 0.966175
Critical r:
±0.2680855
P-value (two tailed): 0.000
Determine the null and alternative hypotheses.
H1: p
(Type integers or decimals. Do not round.)
Identify the correlation coefficient, r.
(Round to three decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed.)
A. There is one critical value at r=
O B. There are two critical values 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.
O B. Yes, because the absolute value of the test statistic
exceeds the critical value.
O C. No. because the test statistic
falls between the critical values.
O 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.
Transcribed Image Text:Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Correlation Results 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. Correlation coeff, r: 0.966175 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H1: p (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r= O B. There are two critical values 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. O B. Yes, because the absolute value of the test statistic exceeds the critical value. O C. No. because the test statistic falls between the critical values. O 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.
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?
O A. No, it is easier to measure weight than chest size because the chest is not a flat surface.
O B. 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.
O 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 be used to predict weight because there is a linear correlation between the two.
O 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 not a linear correlation between the two
Click to select your answer(s).
Transcribed Image Text: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? O A. No, it is easier to measure weight than chest size because the chest is not a flat surface. O B. 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. O 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 be used to predict weight because there is a linear correlation between the two. O 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 not a linear correlation between the two Click to select your answer(s).
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