Question

A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99 % confidence assuming s=13.3 based on earlier studies? Suppose the doctor would be content with 90 % confidence. How does the decrease in confidence affect the sample size required?

A 99% confidence level requires __ subjects? (round up to the nearest subject)

A 90% confidence level requires __ subjects? (round up the the nerest subject)

How does the decrease in confidence affect the sample size required?

Answer #1

Solution :

a) Z/2 = Z0.005 = 2.576

sample size = n = [Z/2* / E] 2

n = [2.576 * 13.3/ 3]2

n = 130.42

Sample size = n = 131

b) Z/2 = Z0.05 = 1.645

sample size = n = [Z/2* / E] 2

n = [1.645 * 13.3/ 3]2

n = 53.18

Sample size = n = 54

c) confidence of level is decreases, sample size is decreases

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A 99% confidence level requires ____ subjects. (Round up to
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to 29-year-old females. How many subjects are needed to estimate
the mean HDL cholesterol within 4 points with 99 % confidence
assuming s equals 14.5 based on earlier studies? Suppose the
doctor would be content with 90 % confidence. How does the decrease
in confidence affect the sample size required?
A 90% confidence level requires ____ subjects. (Round up to
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A
doctor wants to estimate the mean HDL cholesterol of all 20 to 29
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A doctor wants to estimate the mean HDL cholesterol of
all 20- to
29-year-old
females. How many subjects are needed to estimate the mean HDL
cholesterol within
44
points
with
99 %99%
confidence
assuming
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based
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size required?
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the mean HDL cholesterol within
2
points with
99%
confidence assuming
s=17.8
based on earlier studies? Suppose the doctor would be content
with
95%
confidence. How does the decrease in confidence affect the
sample size required?
LOADING...
Click the icon to view a partial table of critical values.
A 99% confidence level requires
nothing
subjects. (Round up to...

A doctor wants to estimate the mean HDL cholesterol of all 20-
to 29-year-old females. How many subjects are needed to estimate
the mean HDL cholesterol within 4 points with 99%
confidence assuming s=19.1 based on earlier studies? Suppose
the doctor would be content with 90% confidence. How does the
decrease in confidence affect the sample size required?
A 99% confidence level requires?

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b) A 95 % confidence level requires _____ subjects.

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to 29-year-old females. How many subjects are needed to estimate
the mean HDL cholesterol within 22 points with 99% confidence
assuming s equals 11.9 based on earlier studies? Suppose the
doctor would be content with 95% confidence. How does the decrease
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question mark for both)
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A doctor wants to estimate the mean HDL cholesterol of all 20-
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A 99% confidence level requires blank subjects.
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