(main)[5]
Carry out a test at the $2.5\%$ significance level to determine whether the mean height of fertiliser-treated plants is greater than $2.3\,\text{m}$.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
Earlier, the average height of plants in a certain species was $2.3\,\text{m}$. A random sample of $60$ plants from this species was treated with fertiliser, and the mean height of those $60$ plants was measured as $2.4\,\text{m}$. Assume that the standard deviation of the heights of plants treated with fertiliser is $0.4\,\text{m}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct hypotheses are $H_0: \mu = 2.3$ and $H_1: \mu > 2.3$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI