Mean Standard Deviation N Lower class 12.11 2.93 196 Working class 13.01 2.85 576 Middle class 14.99 2.62 256 Upper class 15.44 2.33 64 The 2020 GSS provides these statistics above for the average years of education for lower-, working-, middle-, and upper-class respondents and their associated standard deviations. 1. Construct the 95% confidence interval for the mean number of years of education for lower-class and middle-class respondents (10 pts)? 2. Construct the 99% confidence interval for the mean number of years of education for lower-class and middle-class respondents (10 pts)? 3. As our confidence in the result increases, how does the size of the confidence interval change? Explain why this is so (10 pts)