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).
316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.