The rate of oxygen consumption for a specific species of deep-sea bacteria, measured in μmol/h\mu \text{mol/h}μmol/h, is normally distributed with mean 15.415.415.4 and standard deviation 2.82.82.8. A marine biologist collects a random sample of nnn such bacteria. Determine the minimum sample size nnn such that the probability of the sample mean oxygen consumption exceeding 16.5 μmol/h16.5 \, \mu \text{mol/h}16.5μmol/h is less than 1%1\%1%.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.