Olivia and Liam conducted an experiment to test two different types of mouse traps, type A and type B. Three traps of type A and four traps of the type B were set. After one week, Olivia and Liam counted the number of mice captured in each trap. The readings can be assumed to come from normally distributed populations and are given below. Olivia suspects that the type B trap is less reliable, I.e. that the population variance for the type B trap is larger than that for the type A trap. lest Olivia's suspicion at a significance level of a = 0.05. Type A: 4,3,5 lype B: 4, 1, 6, 1

3. (6 marks) Olivia and Liam conducted an experiment to test two different types of mouse traps, type A and type B. Three traps of type A and four traps of the type B were set. After one week, Olivia and Liam counted the number of mice captured in each trap. The readings can be assumed to come from normally distributed populations and are given below. Olivia suspects that the type B trap is less reliable, i.e. that the population variance for the type B trap is larger than that for the type A trap. Test Olivia's suspicion at a significance level of a = 0.05. Type A: 4, 3, 5 Type B: 4, 1, 6, 1