Mathematics 9709 · AS & A Level · Hypothesis testing

Hypothesis testing — practice question

Earlier, this crop’s yield, measured in tonnes per hectare, had a mean of $0.56$ and a standard deviation of $0.08$. After introducing a new fertilizer, the farmer wants to test at the $2.5\%$ significance level whether the mean yield has gone up. Over 10 years, he records a mean yield of $0.61$ tonnes per hectare.
(a)[2]

State two assumptions that are needed for the test.

(b)[5]

Carry out the test.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Population standard deviation remains unchanged, or $\sigma = 0.08$

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