SOLUTION: Heights of men on a baseball team have a bell shaped distribution with a mean of 170 cm and a standard deviation of 7 cm. Using the empirical rule what is the approximate percentag

Algebra ->  Probability-and-statistics -> SOLUTION: Heights of men on a baseball team have a bell shaped distribution with a mean of 170 cm and a standard deviation of 7 cm. Using the empirical rule what is the approximate percentag      Log On


   

Question 973725: Heights of men on a baseball team have a bell shaped distribution with a mean of 170 cm and a standard deviation of 7 cm. Using the empirical rule what is the approximate percentage of the men between the following values?
A)____% of the men are between 163cm and 177cm?
B)____% of the men are between 149cm and 191cm?
so if i take 163-170= -7/7= -1
177-170=7/7=1
149-170=-21/7-3
191-170= 21/7=3
Please show the work so I can fully understand how this is done. Thank you!
how do i get the percentages from here?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You're off to a good start. You have found that if x = 163, then z = -1. Also, if x = 177, then z = +1

The empirical rule states that roughly 68% (shown in blue) of the popluation is between z = -1 and z = +1


Source: http://www.nku.edu/~statistics/212_Using_the_Empirical_Rule.htm


So the answer to the blank in part A is 68
---------------------------------------------------------------------------

You also found that if x = 149, then z = -3. If x = 191, then z = +3

Use the same drawing above, but now focus on the 99.7% portion in red. That says 99.7% of the population is within 3 standard deviations of the mean

So the answer to the blank in part A is 99.7