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https://www.mathxl.com Student Pla erTest aspx canvas assignment ponts oss ble 608 extoutcomes tool placement-it sta Applied Managerial Statistics-VASSILIADIS Latoya Henderson Quiz: Week 3: MyStatLab Quiz Time Remaining This Question: 3 pts 8 of 14 (11 complete) This Heights of men on a baseball team have a bell-shaped distribution with a mean of 179 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. 169 cm and 189 cm b. 164 cm and 194 cm a. 7% of the men are between 169 cm and 189 cm (Round to one decimal place as needed.) b. 1 % or The men are between 164 cm and 194 cm Round to one decimail place as needed.) Enter your answer in each of me answer boxes Type here to search

Explanation / Answer

Ans:

Given that

mean=179

standard deviation=5

a)169 and 189 are 2 standard deviation below and above the mean respectively.

According to empirical rule,95% of the data fall within 2 standard deviations of the mean.

Hence,95% of the men have height between 169 and 189.

b)164 and 194 are 3 standard deviations below and above the mean respectively.

According to empirical rule,99.7% of the data fall within 3 standard deviations of the mean.

Hence,99.7% of the men have height between 164 and 194.

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