A.) Draw and label the normal model B.) What percent of adults do you expect to
ID: 3300112 • Letter: A
Question
A.) Draw and label the normal model B.) What percent of adults do you expect to have cholesterol levels over 200 C.) what percent of adults do you expect to have cholesterol levels between 150 and 170 D.) Estimate the IQR of cholesterol levels E.) Above what value are the highest 15% of adults cholesterol levels Question Help The cholesterol levels of an adultl can be described by a normal model with a mean of 198 mo/dl. and a standard deviation of 28 a) Draw and label the normal model O A. O c. b)what percent of aduits do yoepect to hav·chInterol levels over 200 mgd ? Round to two decimal places as needed) c) What percent of adults do you expect to have cholesterol levels between 150 and 170 moldl.? Click to select your answeris) 4Explanation / Answer
Params of normal distribution are given. We will use these and the Z table to solve the parts of the question. In case you have doubts on my explanation don't hesitate to drop in a comment. Thanks!
Mean = 198
Stdev = 28
a. Choose the normal plot which has
68% - 1stdev i.e. 198 +/-28 = 170 to 226
95% - 2stdev i.e. 198 +/- 2*28 = 142 to 254
99.7% - 3stdev i.e. 198 +/- 3*28 = 114 to 282
Hence, 1st graph is right
b.P(X>200) = ?
P(Z> 200-198/28) = P(Z> .07) = 1-.5279 = .4721
c.P(150<X<170) = ?
P(150-198/28 <Z< 170-198/28) = P(-1.71<Z< -1) = .1587-.0436 = .1151
d.IQR = Q3-Q1
= P(Z=.67) - P(Z = -.67) [ Z tables show that Z for 75% (Q3) and 25% (Q1) is Z =.67 and -.67 respectively]
= (198+.67*28) - (198-.67*28)
= 2*.67*28
= 37.52
e. P(X>=x) = .15. We look at Z table and see that .85 score has Z = 1.035
So, x = Z*sigma +Mean = 1.035*28 +198 = 226.98
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