A doctor wants to estimate the mean HDL cholesterol of all? 20- to? 29-year-old females. How...

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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 estimatethe mean HDL cholesterol within 3 points with 99 % confidenceassuming s equals 12.4 based on earlier? studies? Suppose thedoctor would be content with 95 % confidence. How does the decreasein confidence affect the sample size? required? LOADING... Clickthe icon to view a partial table of critical values. A? 99%confidence level requires 64 subjects. ?(Round up to the nearest?subject.) A 95 % confidence level requires 37 subjects. ?(Round upto the nearest? subject.) How does the decrease in confidenceaffect the sample size? required? A. The sample size is the samefor all levels of confidence. B. Decreasing the confidence levelincreases the sample size needed. C. Decreasing the confidencelevel decreases the sample size needed.

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4.3 Ratings (554 Votes)

for 99% CI

for 99 % CI value of z= 2.576
standard deviation ?= 12.40
margin of error E = 3
required sample size n=(z?/E)2                                         = 114.0

for 95% CI:

for 95 % CI value of z= 1.960
standard deviation ?= 12.40
margin of error E = 3
required sample size n=(z?/E)2                                         = 66.0

from above:

A? 99% confidence level requires 114 subjects

A 95 % confidence level requires 66 subjects.

C. Decreasing the confidence level decreases the sample size needed.


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