Bi-Weekly Quiz 3

Task 1 (0.5 mark): Two population means – Independent samples 

Population 1 and Population 2 contain the final marks of a large postgraduate unit in 2019S1 and in 2021S1, respectively. We assume that the final marks of both units are normally distributed, and their population variances are equal. Independent samples are taken from these two populations, and the data are given in Spreadsheet “Task 1”. Our objective is to determine whether students in 2021S1 performed better on average than those in 2019S2. Conduct appropriate tests on the data.

Answer Question 1 to Question 5.

Task 3: (1.1 marks) Two population populations – Independent samples

An Australian airline would like to know whether their frequent flyer members are more satisfied with services on international routes or domestic routes. Let p₁ and p₂ be the population proportions of service satisfaction on international and domestic routes, respectively. Two independent samples of are taken from the pool of frequent flyer members. In the international sample, 135 out of 250 members express satisfaction with the airline’s services, while in the domestic sample, 188 out of 400 members are satisfied. Our objective is to determine whether the two population proportions are different. Conduct appropriate tests on the data and use $\alpha$ = 0.05.

Answer Question 10 to Question 17.