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 bettween the weights Correlation Results 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: 0.969 Critical r: P-value (two tailed): 0.000 10.26 .... Determine the null and alternative hypotheses Type integers or decimals. Do not round.) dentify the correlation coefficient, r. (Round to three decimal places as needed.) dentify the critical value(s). Round to three decimal places as needed.) )A. There are two critical values at r=t OB. There is one critical value at r= s 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.) JA. No, because the absolute value of the test statistic exceeds the critical value. DB. Yes, because the test statistic falls between the critical values. DC. Ves. because the absolute value of the test statistic exceeds the critical value. OD. No, because the test statistic falls between the critical values. OE. The answer cannot be determined from the given information. Vhen 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 not be used to predict weight because there is too much variance in the weight of the bears. 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 be used to predict weight because there is a linear correlation between the two.

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**Correlation Analysis of Bear Weights and Chest Sizes**

*Fifty-four wild bears were anesthetized, and their weights and chest sizes were measured and listed in a dataset. 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.*

1. **Null and Alternative Hypotheses**
   - H₀: ρ = [□□□] (Choose appropriate value)
   - H₁: ρ ≠ [□□□] (Choose appropriate value)

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

2. **Identify the Correlation Coefficient, r**
   - r = [□□□] *(Round to three decimal places as needed)*

3. **Identify the Critical Value(s)**
   - □□□ There are two critical values at r = ± [□□□]
   - □□□ There is one critical value at r = [□□□]

   *(Round to three decimal places as needed.)*

4. **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.**
   - □ A. No, because the absolute value of the test statistic [□□□□] exceeds the critical value.
   - □ B. Yes, because the test statistic [□□□□] falls between the critical values.
   - □ C. Yes, because the absolute value of the test statistic [□□□□] exceeds the critical value.
   - □ D. No, because the test statistic [□□□□] falls between the critical values.
   - □ E. The answer cannot be determined from the given information.

5. **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?**
   - □ A. 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
Transcribed Image Text:**Correlation Analysis of Bear Weights and Chest Sizes** *Fifty-four wild bears were anesthetized, and their weights and chest sizes were measured and listed in a dataset. 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.* 1. **Null and Alternative Hypotheses** - H₀: ρ = [□□□] (Choose appropriate value) - H₁: ρ ≠ [□□□] (Choose appropriate value) *(Type integers or decimals. Do not round.)* 2. **Identify the Correlation Coefficient, r** - r = [□□□] *(Round to three decimal places as needed)* 3. **Identify the Critical Value(s)** - □□□ There are two critical values at r = ± [□□□] - □□□ There is one critical value at r = [□□□] *(Round to three decimal places as needed.)* 4. **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.** - □ A. No, because the absolute value of the test statistic [□□□□] exceeds the critical value. - □ B. Yes, because the test statistic [□□□□] falls between the critical values. - □ C. Yes, because the absolute value of the test statistic [□□□□] exceeds the critical value. - □ D. No, because the test statistic [□□□□] falls between the critical values. - □ E. The answer cannot be determined from the given information. 5. **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?** - □ A. 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
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