Use the following information for the question. 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 36.4% of the basketballs will weigh more than 23.1 ounces.
C)Roughly 13.6% of the basketballs will weigh more than 23.1 ounces.
D)Roughly 42.3% 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, calculate the z-score: z = (23.1 - 22.0) / 1.0 = 1.1. Using a standard normal distribution table, the area to the left of z = 1.1 is approximately 0.8643. Therefore, the area to the right (more than 23.1 ounces) is 1 - 0.8643 = 0.1357, or roughly 13.6%.

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