Use the following information for following questions . Male players at the high school, college and professional
ranks use a regulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the
weights of basketballs are approximately normally distributed.
-Roughly what percentage of regulation basketballs weigh more than 23.1 ounces? Round to the nearest tenth of a percent.
A)Roughly 15.1% of the basketballs will weigh more than 23.1 ounces.
B)Roughly 42.3% of the basketballs will weigh more than 23.1 ounces.
C)Roughly 36.4% of the basketballs will weigh more than 23.1 ounces.
D)Roughly 13.6% of the basketballs will weigh more than 23.1 ounces.

Question

Quizplus · Accepted Answer

To find the percentage of basketballs weighing more than 23.1 ounces, we calculate the z-score: $z = \frac{23.1 - 22.0}{1.0} = 1.1$. Looking up the z-score of 1.1 in a standard normal distribution table shows that approximately 86.4% of values lie below 23.1 ounces, meaning roughly 13.6% weigh more than 23.1 ounces.

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