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The mean total serum cholesterol level in women free of cardiovascular disease is 205 with astandard deviation of 19.2. What proportion of women have total serum cholesterol levelsexceeding 200? If values between the 5th and 95th percentiles are considered "normal," what isthe upper limit of normal? If a sample of 10 women are analyzed, what is the probability thattheir mean total serum cholesterol levels exceeds 210?

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The mean total serum cholesterol level in women free of cardiovascular disease is 205 with a
standard deviation of 19.2. What proportion of women have total serum cholesterol levels
exceeding 200? If values between the 5th and 95th percentiles are considered "normal," what is
the upper limit of normal? If a sample of 10 women are analyzed, what is the probability that
their mean total serum cholesterol levels exceeds 210?
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The mean total serum cholesterol level in women free of cardiovascular disease is 205 with a standard deviation of 19.2. What proportion of women have total serum cholesterol levels exceeding 200? If values between the 5th and 95th percentiles are considered "normal," what is the upper limit of normal? If a sample of 10 women are analyzed, what is the probability that their mean total serum cholesterol levels exceeds 210?

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Step 1

Computation of proportion of women have total serum cholesterol levels exceeding 200:

Here, the mean µ = 205

The standard deviation, σ = 19.2

The proportion of women have total serum cholesterol levels exceeding 200 is obtained as 0.60, from the calculations given below:

200
PZ>
205P(z > 0.2604)
19.2
using the EXCEL formula,
0.6027
"=NORM.S.DIST(0.26 04, TRUE)"
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200 PZ> 205P(z > 0.2604) 19.2 using the EXCEL formula, 0.6027 "=NORM.S.DIST(0.26 04, TRUE)"

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Step 2

Upper limit of normal:

The values between 5th and 95th percentile is considered normal. As per empirical rule, normal lies 1.64 standard deviations from the...

(-ZO, uZo=(205-1.64(19.2), 205+1.64(19.2))
(173.51, 236.49)
Upper limit 236.49
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(-ZO, uZo=(205-1.64(19.2), 205+1.64(19.2)) (173.51, 236.49) Upper limit 236.49

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