Question

The cholesterol levels of a group of young women at a university are normally distributed, with a mean of 188 and a standard deviation of 35. What percent of the young women have the following cholesterol levels? (For each answer, enter a number. Round your answers to one decimal place.)

(a) greater than 219
__________ %

(b) between 192 and 220
__________ %

Answer 1

I showed how to determine these with your calculator on a different question of your's.

a)

.1879 or 18.8%

b)

.2742 or 27.4%

Answer 2

The percent of young women who have cholesterol levels greater than 219 is 19.2% and the percent of young women who have cholesterol levels between 192 and 220 is 29.6%.

Given :

The cholesterol levels of a group of young women at a university are normally distributed, with a mean of 188 and a standard deviation of 35.

a) First determine the z value at (x = 219).

$\rm z =\dfrac{x-\mu}{\sigma}$

$\rm z =\dfrac{219-185}{39}=0.87$

So, the percent of young women who have cholesterol levels greater than 219 is:

50 - 30.8 = 19.2%

b) First determine the z value at (x = 192).

$\rm z_{192} =\dfrac{192-185}{39}=0.17$

Now, determine the z value at (x = 220).

$\rm z_{220} =\dfrac{220-185}{39}=0.89$

So, the percent of young women who have cholesterol levels between 192 and 220 is:

= 34.8 - 5.2 = 29.6%

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