Question

1. A sample of 29 body temperatures resulted in a mean of 98.3^o and a standard deviation of .24^o. Use these sample statistics to construct a 98% confidence interval estimate of the standard deviation of body temperature of all healthy humans.
2. In a test of the Atkins weight loss program, 65 individuals participated in a randomized trial with overweight adults. After 12 months, the mean weight loss was found to be 5.1 lb, with a standard deviation of 4.8 lb. construct a 99% confidence interval estimate of the mean weight loss for all such subjects.
3. The Tyco Video Game Corporation finds that it is losing income because of slugs used in it video games. The machines must be adjusted to accept coins only if they fall within set limits. In order to set those limits, the mean weight of quarters in circulation must be estimated. A sample of quarters will be weighed in order to determine the mean. How many quarters must we randomly select and weigh if we want to be 90% confident that the sample mean is within 0.035 g of the true population mean for all quarters? Based on results from a pilot study, we can estimate the population standard deviation is 0.068 g
4. Of 250 adults selected randomly from one town, 72 of them smoke. Construct a 95% confidence interval for the true percentage of all adults in the town that smoke

Answer 1