CH 17 Q1: Please answer parts A-C. For part A, please round to four decimal places.

b) How close are the theoretical values to those that were observed? Not close Very close c) At what sample size are you comfortable using the normal approximation based on the success/failure condition? O A. 100 O B. 20 O C. 50 O D. 200When members of a philanthropic organization send out a fundraising letter. they get a return from about 6% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success n mean standard dev. rate p = 0.06. The sample statistics from each simulation are shown in the table. Complete parts a} 20 0-0609 0-0523 through c). 50 0.0607 0.0334 100 0.0595 0.024 200 0.0601 0.0167 a) According to the central limittheorem, what should the theoretical mean and standard deviation be for each of the sample sizes? Complete the following table. n | theoretical mean i theoretical standard dev. 20 50 1 00 200 (Round to four decimal places as needed.)