2. You believe that the mean number of cats present in Guney Campus Manzara at any given moment is 4. Please answer each part below separately.
a. You have counted the number of cats 9 times, and ar{x} turned out to be 3.3. If a frequent visitor of the place told you that sigma^2 for the number of cats is 0.7, what would be your final decision if you want your CIs to include the true population parameter 95 times out of 100 times?
b. You have counted the number of cats 9 times, and ar{x} turned out to be 5. If S_x^2 = 1.1, what would be your final decision if you are willing to have a confidence level of 96%?