The heights (in inches) and pulse rates (in beats per minute) for a sample of 35
ID: 3131967 • Letter: T
Question
The heights (in inches) and pulse rates (in beats per minute) for a sample of
35
women were measured. Using technology with the paired height/pulse data, the linear correlation coefficient is found to be
0.271
.
Is there sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women? Use a significance level of
alpha
equals0.05
.
Click here to view a table of critical values for the correlation coefficient.
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Because
StartAbsoluteValue 0.271 EndAbsoluteValue
is
less
greater
than the critical value, there
is
is not
sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women for a significance level of
alpha
equals0.05.
Explanation / Answer
answer is 1.6173 and 2.03
here n=35=number of observation
r=0.271=linear correlation
to test significance of r we use t-statistic as
t=r*sqrt(n-2)/sqrt(1-r2)=0.271*sqrt(33)/sqrt(1-0.271*0.271)=1.6173
we test this calculate t with tabulate at (n-2)=33 df
the critical value of t(.05,33)=2.03
and p-value=.1153
as p-value is more than alpha=0.05 so we
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