You have recently conducted an analysis of the Seattle Public Library Mobile Service Program. Based on a random sample of 35 participants in the Mobile Service Program, you find that the average age of individuals participating in the Mobile Service Program is 25, with a sample standard deviation of 5 years. a. Find a 90% confidence interval for the population mean of age. b. A Seattle Public Library publication states that the mean age in the Mobile Service Program is between 23 and 27. Based on the mean collected in your survey, what level of confidence would this range represent? c. Last year, a group of Evans School students conducted a survey for the Seattle Public Library, and found that the average age of individuals in the Mobile Service Program was 29. Given your analysis in part a, would you think it's likely that the students would have found a sample mean greater than 29? What might explain this result, even if they sampled the same group of people, with no obvious sources of bias? Explain with 1 or 2 sentences.