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%]

*****************************

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%]

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
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

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