You wish to create unbiased estimates for the mean and standard deviation of this population using the sample data from the NHANES survey. For the NHANES weight data, do the following. (Round
your answers to two decimal places.)
(a) Calculate the unbiased estimate for the mean (in kg) using sample data.
kg
(b) Calculate the unbiased estimate for the standard deviation (in kg) using sample data.
kg
Given the proposed guideline for the maximum dosage in a 24-hour period for the new drug, the cutoff weight, in kilograms, necessary to avoid experiencing adverse symptoms is as follows.
4,000 mg 125 mg/kg = 32 kg
Assuming that your unbiased estimates for the population mean and standard deviation are accurate, calculate the z-score for this cutoff weight. (Round your answer to two decimal places.)
Assuming that the population of weights of 12-year-old children in the US is normally distributed, use your z-score from the previous question to estimate the following.
(a) Estimate the proportion of 12-year-old children who would exceed 125 mg of drug/kg of body weight when taking the maximum dose. (Round your answer to four decimal places.)
(b) There are approximately four million 12-year-olds in the US. Approximately how many of them would be at risk of experiencing adverse symptoms if they took the max dose of the new drug? (Round your answer to the nearest whole number.)
