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 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 99% confidence level requires ____ subjects. (Round up to the nearest subject.)

Answer #1

for 99% CI:

for 99 % CI value of z= | 2.576 |

standard deviation σ= | 14.50 |

margin of error E = | 4 |

required
sample size
n=(zσ/E)^{2 }
= |
88.0 |

A 99% confidence level requires 88 subjects

the decrease in confidence reduces the requirement of sample size

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