The weight of organic apples in a grocery store follows a normal distribution with a mean of 150 g and a standard deviation of 12 g.
Find the probability that a randomly selected apple weighs more than 165 g.
Write down a null and alternative hypothesis for a two-tailed test.
A farmer takes a sample of 15 apples and finds a mean weight of 158 g. Test at the 5% significance level whether there is evidence that the mean weight of apples has changed.
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.