2022 VCAA Specialist Mathematics Exam 2 Solutions– PDF 107 KB

Thanks to Michael Xu of Minaret College for checking and correcting mistakes.

Thanks to John Kermond for pointing out the following errors. These errors are a consequence of errors in the actual question:

1) A multiple choice question with no correct answer (Section A Q4).

2) A defective multiple choice question for which no answer can be calculated (Section A Q19)

3) A question that required students to make an unjustified and potentially dubious assumption, confusing some students (Section B Q6 part (f)).

In particular, **Section A Q19:**

A confidence interval gives an estimated range of values which is likely to include an unknown *population* parameter. It is based on a given set of sample data.

The question does not give the sample mean. In fact, the question seems to be suggesting that a confidence interval for a sample mean based on the population mean should be calculated.

Furthermore, the question enables the population mean to be exactly calculated, which makes finding a confidence interval for the population mean pointless, assuming the sample mean was given and such a calculation able to be performed.