Q1) Number of credit cards carried by students can be modelled by using Poisson distribution. A sample of students generated following data credits cards X 0 1 2 3 4 5 6 students with X credit cards 44 249 388 106 37 12 3. Determine the sample size n, and therefore sample mean Xbar. Use this information to compute a 95% confidence interval for average number of credit cards carried by students.
Q2) Assume you require estimating population proportion p with a 95% confidence interval of total width 0.06. How large must your sample be? If total width is to remain same, but confidence set to 99%, how large must the sample be? If confidence level can be kept at 95%, but total width is to be halved, how large must the sample be?