Please could you show how to work these two questions. I’m not sure if there is some information that was left out in question 5. Thanks in advance. =)
Question 4
A large multibranch bank is affiliated with both MasterCard and Visa Credit cards. A random sample of 50 MasterCard clients founds that their average month end credit card balance was N$944.00; for a random sample of 66 Visa card clients, their average month end credit card balance was found to be N$827.00.
Assume the population of month end credit cards balances for the clients is normally distributed with population standard deviation of N$294.00 for MasterCard and N$ 336.00 for Visa Credit cards respectively. Is there a difference in the variances between the MasterCard and Visa Credit cards clients at 5% level of significance? [12]
Question 5
In a sample 1383 Unam hostel students 979 students were found to favour to study over the weekend to improve their academic performance.
(a) Find a point estimate for the population proportion р of those in favour of studying over the weekend to improve their academic performance and interpret it. [4]
(b) Find the minimum sample size needed to estimate the population proportion at the 99% confidence level in order to ensure that the estimate is accurate within 4% of the population proportion. [5]