1. Dr. Moore wanted to estimate the mean cholesterol level for all adult men living in Hartford. He took a sample of 25 adult men from Hartford and found that the mean cholesterol level for this sample is 186 with a standard deviation of 12. Assume that the cholesterol levels for all adult men in Hartford are (approximately) normally distributed. Construct a 95% confidence interval for the population mean.
2. A researcher estimates that t hours after midnight during a typical 24-hour period, the temperature in a certain northern city is Twhere What is the average temperature in the city between 6A.M and 4P.M?
3. Suppose the total cost in dollars of manufacturing q units of a certain commodity is . If the current level of production is 40 units, estimate how the total cost will change if 40.5 units are produced.
4. The daily output at a certain factory is units, where L denotes the size of the labor force measured in worker-hours. Currently, 1000 worker-hours of labor are used each day. Use calculus to estimate the number of additional worker-hours of labor that will be needed to increase daily output by 15 units.