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Please SHOW CALCULATIONS on how the answers are right. PLEASE help with ALL QUES

ID: 3047428 • Letter: P

Question

Please SHOW CALCULATIONS on how the answers are right. PLEASE help with ALL QUESTIONS!!!

1. Serum cholesterol concentrations are measured as part of a community study. The mean and standard deviation are given for women by age group Age (years) Cholesterol 45-49 50-54 55-59 60-62 229 ± 47 246 ± 50 255 ± 48 244 ± 36 Assuming serum cholesterol concentrations follow a normal (gaussian) distribution, which of the following is the probability that a woman between the ages of 50 and 54 years has a serum cholesterol concentration greater than 296 mg/dL? A) 1% B) 2.5% C) 5% D) 16% E) 95%

Explanation / Answer

Solution1:

mean=246

sd=50

age group 50-54

P(X>296)

z=x-mean/sd

=296-246/50

=50/50

=1

P(Z>1)

pnorm(-1)

=0.1586553

0.1586553*100

=15.86%

=16%

OPTIOND