Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
Earlier, the yearly quantity of wheat produced per farm by a large number of similarly sized farms in one region had a mean of $24.0$ tonnes and a standard deviation of $5.2$ tonnes. Last summer a new fertiliser was applied on all the farms, and it was expected that the mean quantity of wheat produced per farm would exceed $24.0$ tonnes. To check whether this was correct, a scientist recorded the amounts of wheat produced by a random sample of $50$ farms last summer. He found that the sample mean was $25.8$ tonnes.
(main)[6]
State the necessary assumption, and carry out the test at the $1\%$ significance level.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Assume that the standard deviation remains $5.2$.” …