Heights of men on a baseball team have a bellshaped distribu
Heights of men on a baseball team have a bell-shaped distribution with a mean of
173 cm
and a standard deviation of
9 cm.
Using the empirical rule, what is the approximate percentage of the men between the following values?a.
155
cm and
191
cmb.
164
cm and
182
cm
a.
nothing%
of the men are between
155
cm and
191
cm.
(Do not round.)
b.
nothing%
of the men are between
164
cm and
182
cm.
(Do not round.)
Solution
a)
Getting the z score of x = 191, we see that
z = (x-u)/sigma = (191-173)/9 = 2
For 2 standard deviations from the mean, the emipirical rule states that 95% [ANSWER] of the data is included. [ANSWER, 95%]
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b)
Getting the z score of x = 182, we see that
z = (x-u)/sigma = (182-173)/9 = 1
For 1 standard deviation from the mean, the emipirical rule states that 68% [ANSWER] of the data is included. [ANSWER, 68%]


