Researchers studied the impact of cooking on the prevalence of fine particles in the air. The decay rate (measured in µm/hr of fine particles produced from oven cooking was recorded on six randomly selected days. The measurements were: 0.95 0.83 1.20 0.89 1.48 1.13(A) Find the quick-and-dirty 95% confidence interval for the average decay rate of fine particles produced from oven cooking. (B) Find a 99% confidence interval, without using an applet, for the average decay rate of fine particles produced from oven cooking. (C) Suppose we want to estimate the average decay rate at a confidence level of 99% to within plus or minus 0.1. What sample size should we expect to need?