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.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 100 questions covering The Normal Distribution, Finding Probabilities for Normal Distributions, The Inverse Normal Distribution Function, The Standard Normal Distribution, Finding the mean and standard deviation, Approximating a Binomial Distribution, and Hypothesis Testing with the Normal Distribution, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.