The weights of beans in tins produced by company A are normally distributed with a mean of 400 g and a standard deviation of 4 g.
Find the probability that a randomly selected tin of beans has a weight of less than 396 g.
Write down the company's null and alternative hypothesis.
A sample of 16 tins is taken and the mean weight is found to be 398 g. Carry out a test at the 1% significance level to see if there is evidence that company A is producing tins with a mean of less than 400 g.
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.