You work on a traffic management team for the city. There has been a proposal to add a new lane to a road near a busy intersection. As part of the research into whether or not to build the new lane, the team would like to know how many cars, on average, pass through this intersection at peak hour each day (5 pm to 6 pm). For the purposes of this research, the team is assuming that the standard deviation in the number of cars passing through each hour is 30. You randomly select 41 days on which to monitor the traffic going through this intersection. a)Complete the following statement by filling in the correct number. Give your answer to the nearest whole number of cars. Whatever the true population mean is, for 95% of all samples of size n = 41, the sample mean will be within cars of the population mean. b)Over the 41 days, you find that an average of 855 cars pass through the intersection. Therefore you can be 95% confident that the true population mean is somewhere between and cars