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Question

c oli. Secure: https://www.mathol.comStudent/PlayerTest.aspx?testld.175986955 Math 200 Stats WN 2018 2:05 Ma Test:Midterm This Question: 2 pts Heights of men on a baseball team have a bell-shaped distribution with a mean of 167 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approxd following values? a. 149 and 185 cm b. 158 cm and 176 cm a.% of the men are between 149 cm and 185 m. (Round to one decimal place as needed.) b,% of the men are between 158 cm and 176 cm. (Round to one decimal place as needed.)

Explanation / Answer

Result:

a). 149 and 185 are mean± 2sd limits

95.0 % of men are between 149 cm and 185cm.

b).

a). 158 and 176 are mean± 1sd limits

68.0 % of men are between 158 cm and 176cm.

Note: empirical rule shows that 68% will fall within the 1 standard deviation, 95% within the two standard deviations, and 99.7% will fall within the three standard deviations of the distribution's average.