Take a lest neven sudani Morila pinefes a https//www.mathxloomstudent/Player Tes

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Take a lest neven sudani Morila pinefes a https//www.mathxloomstudent/Player Test aspxhes 15148 1629acenterwinayes Spring 2017-MAT 206 Elements of Statistics Test Unit 1 Test Online Part This Question: 2 pts 11 of 17 (10 complete) This Test: 40 pts possible Heights of men on abaseball team have a bell shaped n with a mean of 172 am and a standard deviation of am Using the the approximate percentage of the men between the following values? empirical rule, what a. 165 am and 179 am b. 151 am and 193 am a. of the men are between 165 cm and 179 cm. (Round one decimal place as needed) b. of the men are between 151 cm and 193 cm (Round to one decimal place as needed) Enter your answer in each of the answer boxes a R Document sharing

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Answer

A bit theory

The empirical rule can be divided into three parts

68% of the data falls within one standard deviation from the mean

95% of the data falls within two standard deviation from the mean

99.7% of the data falls within three standard deviation from the mean

Here the heights of men on a basketball team ( say X ) have a bell shaped distribution with mean of 172 cm and standard deviation of 7 cm.

a) So the percentage of players having height within 165cm and 179 cm or (172 - 7) cm and (172 + 7) cm which is nothing but the percentage of heights having value within one standard deviation of mean value.

So by empirical rule the required percentage be 68%

b) Here the percentage of players having height within 151cm and 193 cm or (172 - 3x7) cm and (172 + 3x7) cm which is nothing but the percentage of heights having value within three standard deviation of mean value.

So by empirical rule the required percentage be 99.7%

Hence the answer.............

Thank you............

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