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. Determine the null and alternative hypotheses. Ho: P H₁: P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) * Identify the critical value(s). (Round to three decimal places as needed.) OA. There is one critical value at r= OB. There are two critical values at r= ± Correlation Results Correlation coeff, r: 0.959176 Critical r: P-value (two tailed): 0.000 +0.2680855 .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 a = 0.05.
Determine the null and alternative hypotheses.
Ho: P
H₁: P
(Type integers or decimals. Do not round.)
Identify the correlation coefficient, r.
r=
(Round to three decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed.)
OA. There is one critical value at r=
B. There are two critical values at r= t
Correlation Results
Correlation coeff, r: 0.959176
Critical r:
P-value (two tailed): 0.000
+0.2680855
.
Transcribed Image Text: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. Determine the null and alternative hypotheses. Ho: P H₁: P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) OA. There is one critical value at r= B. There are two critical values at r= t Correlation Results Correlation coeff, r: 0.959176 Critical r: P-value (two tailed): 0.000 +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
B. No, because the absolute value of the test statistic
OC. Yes, because the test statistic
falls between the critical values.
D. No, because the test statistic
falls between the critical values.
O E. The answer cannot be determined from the given information.
exceeds the critical value.
exceeds the critical value.
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?
OA. 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.
OB. 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.
OC. 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.
OD. No, it is easier to measure weight than chest size because the chest is not a flat surface.
Transcribed Image Text: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 B. No, because the absolute value of the test statistic OC. Yes, because the test statistic falls between the critical values. D. No, because the test statistic falls between the critical values. O E. The answer cannot be determined from the given information. exceeds the critical value. exceeds the critical value. 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? OA. 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. OB. 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. OC. 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. OD. No, it is easier to measure weight than chest size because the chest is not a flat surface.
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