This Question: 8 pts 16 of 24 (14 complete) This Quiz: 100 pts possib Heights of

Question

This Question: 8 pts 16 of 24 (14 complete) This Quiz: 100 pts possib Heights of men on a baseball team have a bell-shaped distribution with a mean of 177 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 172 cm and 182 cm b. 167 cm and 187 cm a. | % of the men are between 172 cm and 182 cm (Round to one decimal place as needed.) bD% of the men are between 167 cm and 187 cm. Round to one decimal place as needed.) Enter your answer in each of the answer boxes.

Explanation / Answer

Answer:-

(A) 68%

(B) 95%

Solution :-

(A)   182 - 177 = 5 which is 1(5) , Thus, 182 is 1 standard deviation to the right of the mean. 177 - 172 = 5 which is 1(5) , Thus 172 is 1 standard deviation to the left of the mean . Since, 172 to 182 is within 1 standard deviation of the mean, we know that 68% of the men would be between 172 to 182

(B) 187 - 177 =10 which is 2(5), Thus , 187 is 2 standard deviations to the right of the mean. 177 - 167 = 10 which is 2(5), thus, 167 is 2 standard deviations to the leaf of the mean. Since, 167-187 is within 2 standard deviations of the mean, we know that about 95% of the men would be between 167-187.

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