IB Mathematics Applications & Interpretation AHL 4.18—T and Z Test, Type I and II Errors

Question Type 1: Performing a hypothesis test for the mean given the variance for single sample

Question Type 2: Performing a hypothesis test for the mean with unknown variance of a single sample

Question Type 3: Performing a hypothesis test comparing two means of unpaired samples with equal variances

Question Type 4: Performing a hypothesis test comparing two means for paired samples

Question Type 5: Performing a hypothesis test on single proportion using the binomial distribution

Question Type 6: Performing a hypothesis test on population mean using the poisson distribution

Question Type 7: Performing a hypothesis test on population mean using the normal approximation of a poisson distribution

Question Type 8: Performing a hypothesis test for correlation under bivariate normality

Question Type 9: Finding the critical region under a poisson on binomial distribution

Question Type 10: Calculating the probability of a type 1 error under a critical region for a binomial or poisson distribution

Question Type 11: Calculating the probability of a type II error for a critical region under poisson on binomial distribution