Mathematics 9709,63 Oct Nov 2024 | Cambridge AS - A Level Past Papers With Mark Scheme

1. Confidence Interval for Population Mean | Calculation of a 96% confidence interval for the mean height of a species of deer and interpretation of confidence intervals.

2. Probability Using Normal Distributions | Determining the probability that the total mass of three small wheat bags exceeds the mass of one large wheat bag.

3. Unbiased Estimates and Sample Distribution | Calculation of unbiased estimates of population mean and variance and determining a critical value for a given probability.

4. Probability Density Functions and Expectation | Finding the constant in a probability density function and calculating the expected value of a logarithmic transformation.

5. Hypothesis Testing for Population Mean | Conducting a two-tailed hypothesis test at a 1% significance level for the mean length of worms.

6. Poisson Distribution Applications | Finding probabilities related to customer arrivals at service desks and determining the minimum waiting time for a specified certainty.

7. Statistical Errors and Approximations | Calculation of Type I and Type II errors in hypothesis testing and using an approximating distribution for a Poisson process.