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).
355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.