
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.)
O A. There are two critical values at r= ±
OB. There is one critical value at r=
***
OB. Yes, because the absolute value of the test statistic
OC. Yes, because the test statistic
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. No, because the absolute value of the test statistic
Correlation Results
Correlation coeff, r: 0.952597
Critical r:
±0.2680855
P-value (two tailed): 0.000
exceeds the critical value.
exceeds the critical value.
falls between the critical values.
OD. No, because the test statistic
falls between the critical values.
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?
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 not 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 be used to predict weight
because there is a linear correlation between the two.
OC. No, it is easier to measure weight than chest size because the chest is not a flat surface.
OD. 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.
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