The owner of a bakery claims that the mean weight of their sourdough loaves is 500 g. A random sample of 64 loaves is taken, and their weights have a mean of 494.5 g and a standard deviation, sss, of 22 g.
Stating your hypotheses clearly and using a 5% level of significance, test whether or not the owner's claim is supported by the data.
Explain the relevance of the Central Limit Theorem to your calculation in part (a).
State an additional assumption regarding the standard deviation that was made to carry out the test in part (a).
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.