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 59.59 mph and 4.32 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. Click to select your answer and then click Check Answer.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

59.59

mph and

4.32

mph, respectively. A histogram of the speeds is bell-shaped. Complete parts (a) through (d) below.

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?

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.

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.

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.

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.

Click to select your answer and then click Check Answer.

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