Solve 1 Only.

1. A news organization's poll of Americans found that 329 out of 763 adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% confidence. 2. A sample of 60 night-school students' ages is obtained in order to estimate the mean age of night school students. The sample produced a mean of 25.3 years and a standard deviation of 4. a. Find the 95% confidence interval for the mean length. b. Find the margin of error for part A. c. Find the 99% confidence interval for the mean length. d. Find the margin of error for part C. e. State the relationship between the margin of error and the confidence level for if we hold the sample size constant. 3. How large a sample should we take if we are to estimate the population mean with 99% confidence to within $75? The population has a standard deviation of $900. Assume that the intended interval is a Z-Interval