(3) In a simple random sample of size 900 drawn from a population, the average age is 50 years and the SD is 15 years. Also, 50% of the people in the sample own their vehicles. (Note: In this problem, assume that the SD of the sample is the same as the SD of the population.) (a) [2pts] Construct an approximate 95% condence interval for the average age of the people in the population. Use (130.96) m 97.5% to get your answer. (b) [lpt] True or false (explain): The ages of approximately 95% of the population are in the interval you found in part (a). (c) [2pts] Construct an approximate 95% condence interval for the proportion of the people who own their vehicles in the population. (You may assume the population is huge, so that, the sampling does not affect the parameter of the population, 6.9. the proportion of people who own their vehicles in the population)