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A Biostatistician wants to conduct a survey among a population of teenage girls to estimate their...

A Biostatistician wants to conduct a survey among a population of teenage girls to estimate their

average protein intake (measured in grams). Assume that the population standard deviation

is 13.50 grams and he would like an interval to be 10 grams in width, then what is the sample

size necessary to ensure the confidence level to be 95%?

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Answer #1

From standard normal tables, we have here:
P(-1.96 < Z < 1.96) = 0.95

The margin of error is half the confidence interval width computed here as: 10/2 = 5

Therefore, we have here:

Therefore 29 is the minimum sample size required here.

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