SOLUTION: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 174 cm and a standard deviation of 6 cm . Using the empirical​ rule, what is th

Algebra ->  Probability-and-statistics -> SOLUTION: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 174 cm and a standard deviation of 6 cm . Using the empirical​ rule, what is th      Log On


   

Question 1088571: Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 174 cm

and a standard deviation of 6 cm
.
Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?
a. 162

cm and 186

cm
b. 168

cm and 180

cm
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 174 cm and a standard deviation of 6 cm
.
Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?
a. 162 cm and 186cm
(162-174)/6 = -12/6 = -2 ; (186-174)/6 = 12/6 = 2
Ans:: The empirical Rule states that 95% of the data values are
within 2 standard deviations of the mean.
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b. 168cm and 180cm
(168-174)/6 = -6/6 = -1 ; (180-174)/6 = 1
Ans:: The emperical Rule states that 68% of the data values are
within 1 standard deviation of the mean.
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Cheers,
Stan H.
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