Time Left.2. Question 2 (10 points) A consumer agency that proposes that lawyers' rates are too high wanted to estimate the mean hourly rate for all lawyers in New York City. In 2020 a sample of 100 lawyers taken from New York City showed that the mean hourly rate charged by them is $425. The population standard deviation of hourly charges for all lawyers in New York City is $115. a) What is the point estimate for the corresponding population mean? b) What distribution (z or t) you need to use to construct the confidence interval and why? c) Construct a 99% confidence interval for the mean hourly charges for all lawyers in New York City. Type the interval in the format: (lower bound, upper bound)