Question 1
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. If nothing is known about the shape of the distribution, what percentage of
the player's serve speeds are less than 70 mph?
◦ approximately 2.5%
◦ at most 25%
◦ at most 11%
◦ approximately 5%
◦ at most 12.5%
Question 2
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 104 miles per hour (mph) and the standard deviation of the serve speeds was 11 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.
◦ 82 mph to 126 mph
◦ 71 mph to 137 mph
◦ 126 mph to 148 mph
◦ 93 mph to 115 mph
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