A-Level AQA Maths Pure Modelling with Functions: Jamal, a farmer, claims that the

Question

Jamal, a farmer, claims that the larger the rainfall, the greater the yield of wheat from his farm.

He decides to investigate his claim, at the 5% level of significance.

He measures the rainfall in centimetres and the yield in kilograms for a random sample of ten years.

He correctly calculates the product moment correlation coefficient between rainfall and yield for his sample to be 0.567.

The table below shows the critical values for correlation coefficients for a sample size of 10 for different significance levels, for both 1- and 2-tailed tests.

| 1-tailed test significance level | 5%  | 2.5% | 1%  | 0.5% |
|----------------------------------|------|------|-----|------|
| 2-tailed test significance level | 10% | 5%   | 2%  | 1%   |
| Critical value                   | 0.549| 0.632| 0.716| 0.765|

Determine what Jamal's conclusion to his investigation should be, justifying your answer.

Jamal, a farmer, claims that the larger the rainfall, the greater the yield of wheat from his farm - AQA - A-Level Maths Pure - Question 15 - 2019 - Paper 3

Worked Solution & Example Answer:Jamal, a farmer, claims that the larger the rainfall, the greater the yield of wheat from his farm - AQA - A-Level Maths Pure - Question 15 - 2019 - Paper 3

Identify Critical Value

Compare Correlation Coefficient to Critical Value

Determine Conclusion

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