Question
In: Statistics and Probability
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed...
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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 thanweight? 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 |
Correlation Results |
|
|
Correlation coeff, r: |
0.9572230 |
|
|---|---|---|
|
Critical r: |
±0.26808550 |
|
|
P-value (two tailed): |
0.000 |
|
Solutions
Expert Solution
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
orchestra answered 2 years agoRelated Solutions
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...
Listed below are the body lengths (in inches) and weights (in
lb) of randomly selected bears:
Length
40
64
65
49 47
Weight
65
356
316
94 86
Find the value of the linear correlation coefficient.
Letting y represent weights of bears and letting
x represent their lengths, find the regression
equation.
Based on the given sample data, what is the best predicted
weight of a bear with a length of 72.0 inch ?
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...
Listed below are the body lengths (in
inches) and weights (in lb) of randomly selected bears:
Length
40
64
65
49 47
Weight
65
356
316
94 86
Find the value of the linear correlation coefficient.
Letting y represent weights of bears and letting
x represent their lengths, find the regression
equation.
Based on the given sample data, what is the best predicted
weight of a bear with a length of 72.0 inch?
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights...
Listed below are the overhead widths (in cm) of seals measured
from photographs and the weights (in kg) of the seals. Construct
a scatterplot, find the value of the linear correlation
coefficient r, and find the critical values of r using alpha=0.05
Is there sufficient evidence to conclude that there is a linear
correlation between overhead widths of seals from photographs and
the weights of the seals?
Overhead Width
7.17.1
7.67.6
9.79.7
9.39.3
8.98.9
8.38.3
Weight
112112
192192
241241
199199...
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights...
Listed below are the overhead widths (in cm) of seals measured
from photographs and the weights (in kg) of the seals. Construct
a scatterplot, find the value of the linear correlation
coefficient r, and find the critical values of r using alpha
equals0.05 . Is there sufficient evidence to conclude that there is
a linear correlation between overhead widths of seals from
photographs and the weights of the seals?
Overhead
Width 7.1 7.6 9.7 9.3 8.6 8.2
Weight 115 197...
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights...
Listed below are the overhead widths (in cm) of seals measured
from photographs and the weights (in kg) of the seals. Construct
a scatterplot, find the value of the linear correlation
coefficient r, and find the critical values of r using
α=0.05. Is there sufficient evidence to conclude that there is a
linear correlation between overhead widths of seals from
photographs and the weights of the seals?
Overhead Width
7.1
7.6
9.9
9.3
8.7
8.2
Weight
113
177
250
199...
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights...
Listed below are the overhead widths (in cm) of seals measured
from photographs and the weights (in kg) of the seals. Construct
a scatterplot, find the value of the linear correlation
coefficient r, and find the critical values of r using
alphaαequals=0.010.01.
Is there sufficient evidence to conclude that there is a linear
correlation between overhead widths of seals from photographs and
the weights of the seals?
Overhead Width
7.17.1
7.77.7
9.69.6
9.49.4
8.88.8
8.18.1
Weight
112112
197197
241241
205205...
Patients seeking treatment for chest pain were divided into four groups according to their diagnosis. Their...
Patients seeking treatment for chest pain were divided into four
groups according to their diagnosis. Their purpose of the research
study was to determine if the mean platelet volume (measured in fL)
differed for the four populations represented by the sample of the
patients. The data are summarized below. Test the null hypothesis
that the means of the populations are equal. Use the 8 step
procedure to solve this problem
Population
Sample Size
Sample Mean
Sample Standard Deviation
Sample Variance...
The initial rates listed in the following table were measured in methanol solution for the reaction:...
The initial rates listed in the following table were measured in
methanol solution for
the reaction: A + 2 B + C ↔ 2 D + 2 E
Experiment
Initial [A]
Initial [B]
Initial [C]
Initial Rate of Formation D (M/s)
1
0.105
0.15
0.200
1.8 x 10-5
2
0.105
0.30
0.200
7.1 x 10-5
3
0.052
0.30
0.200
3.5 x 10-5
4
0.105
0.30
0.255
7.1 x 10-5
Write the rate law for the reaction.
What is the numerical...
The initial rates listed in the following table were measured for the reaction between nitrogen dioxide...
The initial rates listed in the following table were measured
for the reaction between nitrogen dioxide and carbon monoxide that
occurs in engine exhaust.
NO2(g)+CO(g)→NO(g)+CO2(g)NO2(g)+CO(g)→NO(g)+CO2(g)
Experiment
Initial [NO2][NO2]
Initial [CO][CO]
Initial Reaction Rate (M/sM/s)
1
0.100
0.100
5.00×10−35.00×10−3
2
0.150
0.100
1.13×10−21.13×10−2
3
0.200
0.200
2.00×10−22.00×10−2
What is the value of the rate constant and its units?
Express your answer to three significant figures and include the
appropriate units.
The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found...
The weights of four randomly and independently selected bags of
tomatoes labeled 5.0 pounds were found to be 5.3, 5.0, 5.6, and 5.4
pounds. Assume Normality. Answers part (a) and (b) below.
(a). Find a 95% confidence interval for the mean weight of all
bags of tomatoes. (__,__)
(b). Does the interval capture 5.0 pounds? Is there enough
evidence to reject a mean weight of 5.0 pounds? Explain.
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