Lost!!!!!!!!!!!!!!!!!

Question

Completely Bewildered doing statistics

 

 Heights of men on a baseball team have a bell-shaped distribution with a mean of 185 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. 167 cm and 203 cm

b. 158 cm and 212 cm

a. ? % of the men are between 167 cm and 203 cm.

b. ? % of the men are between 158 cm and 212 cm.

Answer 1

a) approximate % between 167 and 203 if mean = 185 and standard deviation = 9

using the empirical rule 68-95-99.7

185+/-9(2) = 167, 203

95% are within 2 standard deviations from the mean

b) 158 to 212 ?? z = (185- 158)/9 = 27/9 = 3 sd

185-212)/9 = - 27/9 = -3

so 99.7%

c) 95% by the empirical rule, but more accurately 95.45% with z tables

d) 99.7% by the empirical rule, but 99.73% with z tables