2. Assume you have taken a survey of two neighbourhoods in Toronto asking about how much people in the different areas spend per month on rent. Neighbourhood 1 has a sample size of 200, sample mean of 1,300 dollars and variance of 400 dollarsz. Neighbourhood 2 has a sample size of 100, sample mean of 2,100 dollars and variance of 2,500 dollarsz. (total 40 points) a. Construct a 95% confidence interval for the difference in sample means. (10 points) b. Construct a 99% confidence interval for the difference in sample means. (10 points) c. In a few sentences, write how you would find the 95% confidence interval for the difference in sample means if the sample sizes for Neighbourhood 1 and 2 were less than 30. (20 points)