Use the Empirical Rule to Describe Data That Are Bell $0.1585$

question 149

Multiple Choice

Use the Empirical Rule to Describe Data That Are Bell Shaped
-At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 103 miles per hour (mph) and the standard deviation of the serve speeds was 9 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player s serves are expected to be between 112 mph and 130 mph

• A) \(0.1585\)
• B) \(0.317\)
• C) \(0.997\)
• D) \(0.68\)

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Definitions:

Cribriform Plate

A portion of the ethmoid bone with numerous small holes that provide passage for the olfactory nerve fibers from the nasal cavity to the brain.

Olfactory Nerve

The first cranial nerve, responsible for the sense of smell, transmitting sensory information from the nose to the brain.

Glossopharyngeal

Relating to the ninth cranial nerve, which is involved in taste sensation and swallowing.

Vestibulocochlear

Relates to the vestibulocochlear nerve, the eighth cranial nerve, responsible for hearing and balance.