1. Suppose a wildlife service wishes to estimate, with 99% confidence, the mean number of days of hunting per hunter for all licensed hunters in the state during a given season, with a bound on the error of estimation equal to 2 hunting days. How many hunters must be included in the survey? Assume that the data collected in earlier surveys have shown standard deviation= 10.
2. We wish to estimate the mean serum indirect bilirubin level of 4 day old infants. The mean for a sample of 160 infants was found to be 5.98mg/100cc. Assume that bilirubin levels in 4 day old infants are approximately normally distributed with a standard deviation of 3.5mg/100cc. Construct a 95% confidence interval for the true mean bilirubin level in 4 day old infants.
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