1. (5 points) Assuming that alpha = 0.05, calculate the probability of a Type II error (i.e., ) if the actual population mean AQI across all North American cities is 102. As part of this draw the density function under the null hypothesis and then also draw the density function assuming mu is 102. On these density functions, show and LABEL the rejection region and shade in the area that corresponds to the probability of a Type II error.