Coaputins Comaue the pop 82-79# core 19) At a tennis tournament a statistician k

Question

Coaputins Comaue the pop 82-79# core 19) At a tennis tournament a statistician keeps track of every serve. The statistician reported that the 19) mean serve speed of a particular player was 102 miles per hour (mph) and the standard deviation of the serve speeds was 8 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least three-fourths of the player's serves A) 86 mph to 118 mph 94 mph to 110 mph B) 118 mph to 134 mph D) 78 mph to 126 mph 20) A study was designed to investigate the effects of two variables - (1) a student's level of

Explanation / Answer

Correct option:
(A) 86 mph and 118 mph

EXPLANATION:

By Chebyshev's Theorem, at least 3/4th of the data lie within two standard deviations of the mean. Here, mean = 102 and SD = 8. So,

mean + 2 X SD = 118

and

mean - 2 X SD = 86

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