Records of number of persons coming for Covid 19 Vaccination in vaccination centerreveal the population mean and variance. The Objective of the Center Manager is toavoid running out of vaccines on a particular day and she therefore wants to determinethe minimum stock of vaccines required each day.

You are required to advise the manager, using a numerical example, on how the

minimum stock of vaccines can be determined. A normal distribution is supposed. (7

marks)

(b) A Bank wishes to determine the mean income of its credit card holders and more

specifically wants to investigate whether there are any differences in the mean income

between males and females. Confidence interval as a statistical inference method hasbeen considered to respond this objective.

You are required to

1. Comment on the choice of confidence intervals as a statistical inference method for

the above. (3 marks)

2. Describe how you will proceed to determine the corresponding confidence intervals.

(5 marks)

3. Explain how you would use confidence intervals as evidence suggesting that in

average males and females income differ. (5 marks)