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Show ALL WORK an a separate sheet of paper. 1. A simple random sample of size n = 210 is drawn from a population. The sample mean is found to be 20.1, and the sample standard deviation is 3.2. Construct a 90% confidence interval about the population mean. 2. A simple random sample of 785 adults was asked if they follow college football. Of the 735 surveyed, 2?5 responded that they did follow college football. Construct a 95% confidence interval about the population proportion of adults who follow college football. 3. Fifty rounds of a new type of ammunition were fired from a test weapon, and the muzzle velocity of the projectile was measured. The sample had a mean muzzle velocity of 863 meters per second, with a sample standard deviation of 2.7 meters per second. Construct a 99% confidence interval for the mean muzzle velocity. 4. In a random sample of 40 visitors to a certain theme park, it was determined that the mean amount of money spent per person at the part was $93.43 per day. Assuming the population standard deviation of the amount spent per person is $15, construct and interpret a 95% confidence interval for the mean amount spent daily per person at the theme park. 5. In a February 2005 Harris Poll, 3'69 of 1010 randomly selected adults said that they always wear their seatbelt. Interpret a 93% confidence interval for the proportion of adults who always wear their seatbelt. 6. The heights of 20-29 yr-old males are known to have a population standard deviation of 2.9 inches. A simple random sample of 15 males 20 to 29 years old results in the following data. Construct a 95% confidence interval about the population mean. 65.5 l 72.3 l 632 | 65.6 | 63.3 | 66.7 | 69.6 | 72.6 l72.9 l 67.5 | 71.3 | 73.3 |70.7 l 67.9 | 73.9 7. Fifteen randomly selected women were asked to walk on a Stair Master for 3 minutes. After 3 minutes their pulse was measured, and the following data obtained. Construct a 95% confidence interval about the population mean. Assume the data is normally distributed. 117 l102l93|1oo|116|113|91|92l96 l136|134|126|1o4l113|102