The cheetah is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 miles per hour​ (mph) and is capable of speeds above 72 mph. The accompanying table contains a sample of the top speeds of 35 cheetahs. The sample mean and sample standard deviation of these speeds are 59.51 mph and 4.13 ​mph, respectively. A histogram of the speeds is​ bell-shaped. Complete parts​ (a) through​ (d) below.   LOADING... Click the icon to view the top speeds of cheetahs. a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within​ one, two, and three standard deviations to either side of the​ mean?     A. It is reasonable to apply the empirical rule. The data is quantitative and the histogram of the data is​ bell-shaped; therefore, the empirical rule applies.   B. It is not reasonable to apply the empirical rule. The data is​ quantitative, but the value of k takes on values less than​ 1; therefore, the empirical rule is not appropriate.   C. It is reasonable to apply the empirical rule. The data is quantitative and the mean and standard deviation are​ known; therefore, the empirical rule applies.   D. It is not reasonable to apply the empirical rule. The data is quantitative and the histogram of the data is​ bell-shaped, but this does not imply that the data itself is​ bell-shaped; therefore, the empirical rule is not appropriate. b. Use the empirical rule to estimate the percentages of observations that lie within​ one, two, and three standard deviations to either side of the mean.   Roughly nothing​% of observations lie within one standard deviation to either side of the mean. Roughly nothing​% of observations lie within two standard deviations to either side of the mean. Roughly nothing​% of observations lie within three standard deviations to either side of the mean.

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Chapter1: Starting With Matlab
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The cheetah is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 miles per hour​ (mph) and is capable of speeds above 72 mph. The accompanying table contains a sample of the top speeds of 35 cheetahs. The sample mean and sample standard deviation of these speeds are
59.51
mph and
4.13
​mph, respectively. A histogram of the speeds is​ bell-shaped. Complete parts​ (a) through​ (d) below.
 
LOADING...
Click the icon to view the top speeds of cheetahs.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within​ one, two, and three standard deviations to either side of the​ mean?
 
 
A.
It is reasonable to apply the empirical rule. The data is quantitative and the histogram of the data is​ bell-shaped; therefore, the empirical rule applies.
 
B.
It is not reasonable to apply the empirical rule. The data is​ quantitative, but the value of k takes on values less than​ 1; therefore, the empirical rule is not appropriate.
 
C.
It is reasonable to apply the empirical rule. The data is quantitative and the mean and standard deviation are​ known; therefore, the empirical rule applies.
 
D.
It is not reasonable to apply the empirical rule. The data is quantitative and the histogram of the data is​ bell-shaped, but this does not imply that the data itself is​ bell-shaped; therefore, the empirical rule is not appropriate.
b. Use the empirical rule to estimate the percentages of observations that lie within​ one, two, and three standard deviations to either side of the mean.
 
Roughly
nothing​%
of observations lie within one standard deviation to either side of the mean. Roughly
nothing​%
of observations lie within two standard deviations to either side of the mean. Roughly
nothing​%
of observations lie within three standard deviations to either side of the mean.
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