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1.A study is run to estimate the mean total cholesterol level in children 2-6 years of age. A
sample of 9 participants is selected and their total cholesterol levels are measured as follows.
185 225 240 196 175 180 194 147 223
Generate a 95% confidence interval for the true mean total cholesterol levels in adults with a
history of hypertension.
Solution
Given n=9, xbar=196.11, s=29 (based on the data)
a=0.05, |t(0.025, df=n-1=8)|=2.31 (check student t table)
So 95% CI is
xbar ±t*s/n
--> 196.11 ± 2.31*29/3
--> (173.78, 218.44)

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1.A study is run to estimate the mean total cholesterol level in chi.pdf

  • 1. 1.A study is run to estimate the mean total cholesterol level in children 2-6 years of age. A sample of 9 participants is selected and their total cholesterol levels are measured as follows. 185 225 240 196 175 180 194 147 223 Generate a 95% confidence interval for the true mean total cholesterol levels in adults with a history of hypertension. Solution Given n=9, xbar=196.11, s=29 (based on the data) a=0.05, |t(0.025, df=n-1=8)|=2.31 (check student t table) So 95% CI is xbar ±t*s/n --> 196.11 ± 2.31*29/3 --> (173.78, 218.44)