A random sample of size n n\,n is taken from a population that is Normally distributed with mean 25 and standard deviation 4.
Find the smallest value of n n\,n for which the probability that the sample mean is greater than 27.5 is less than 1%.
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.