A particular brand of coffee contains the average of 110mg of caffeine per cup with a standard deviation of 20mg. Aldrin wants to investigate the same to estimate the true population mean caffeine content correct to within 5 mg adopting 95% confidence. How many cups of the same brand of coffee does he need for a sample?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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SAMPLE SIZE DETERMINATION Solve the following. 1. A particular brand of coffee contains the average of 110mg of caffeine per cup with a standard deviation of 20mg. Aldrin wants to investigate the same to estimate the true population mean caffeine content correct to within 5 mg adopting 95% confidence. How many cups of the same brand of coffee does he need for a sample? 2. Obesity is defined as a body mass index (BMI) of 30 kg/m² or more. A 95% confidence interval for the percentage of U.S. adults aged 20 years and over who were obese was found to be 22.4 to 23.5%. What was the sample size? 3. A federal report indicated that 27% of children ages 2 to 5 years had a good diet-an increase over previous years. How large a sample is needed to estimate the true proportion of children with good diets within 2% with 95% confidence?
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