The cheetah is the fastest land mammal and is highly specialized to run down pre
ID: 3376051 • Letter: T
Question
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 59.52 mph and 4.10 mph, respectively. A histogram of the speeds is bell-shaped. Complete parts (a) through (d) below. EB 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? O A. 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 O B. 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 ?C. O D is bell-shaped; therefore, the empirical rule is not appropriate. It is not reasonable to apply the empirical rule. The data is quantitative, but the value of k takos on values less than 1: therefore, the empirical rule is not appropriate. it is reasonable to apply the e pin al rule. The data is quantitative and the histogram o the data is bell shaped; therefore, the empirical rule applies. o Top Speeds of Cheetahs (mph) 52.3 52.6 544 55.1 55.3 55.7 56.2 564 57.4 57.5 576 57.9 57.9 58.2 58.4 58.6 59.1 594 59.5 59.7 59.9 60.1 60.2 60.6 60.8 60.9 61.3 61.6 62.3 62.9 63.9 64.8 65.1 66.1 73.6 Click to select your answer and then click Check An parts ver Print DoneExplanation / Answer
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.
Option (D) is correct.
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