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# Male players at the high school, college and professional ranks use a regulation basketball that ...

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2 years ago
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 less than 20.7 ounces? Round to the nearest tenth of a percent.

▸ 40.3% of the basketballs will weigh less than 20.7 ounces.

▸ 5.7% of the basketballs will weigh less than 20.7 ounces.

▸ 22.3% of the basketballs will weigh less than 20.7 ounces.

▸ 9.7% of the basketballs will weigh less than 20.7 ounces.
Textbook

## Introductory Statistics: Exploring the World Through Data

Edition: 2nd
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KaajalpKaajalp
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A week ago
 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 less than 20.7 ounces? Round to the nearest tenth of a percent.Answered- 9.7% of the basketballs will weigh less than 20.7 ouncesIf a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces? Round to the nearest thousandth.____??___A) 0.134 B) 0.267 C) 0.866 D) 0.704
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A week ago
 (A)mean = 22Std Dev (s) =1To find : P( x < 20.7 )z = ( x - u )/s = ( 20.7 - 22 )/1 = -1.3P( x < 20.7) = P( Z < -1.3)= 0.0968 _ _ _ _ _ _ _ _ _ (From Z-table)= 9.68%(B)mean = 22std dev = 1Find : P( 20.5 < X < 23.5 )We convert to standard normal form, by z = (x - u )/sso z1 = (20.5 - 22 )/1 = -1.5& z2 = (23.5 - 22 )/1 = 1.5P( 20.5 < X < 23.5) = P(z1 < Z < z2) = P( Z < 1.5) - P(Z < -1.5)= 0.93319 - 0.06681= 0.86638 _ _ _ _ _ _ _ _ _ (From Z-table)ANSWER: C) 0.866Quote from: annabananerz (A week ago)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 less than 20.7 ounces? Round to the nearest tenth of a percent.Answered- 9.7% of the basketballs will weigh less than 20.7 ouncesIf a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces? Round to the nearest thousandth.____??___A) 0.134 B) 0.267 C) 0.866 D) 0.704
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