A glaciologist suggests that there is a negative correlation between the concentration of a specific microplastic, ppp parts per billion, in snow samples and the distance, ddd km, from the nearest research station.
The glaciologist analyzed a random sample of 25 locations and calculated the product moment correlation coefficient (PMCC) between the microplastic concentration and distance to be −0.415-0.415−0.415.
Carry out a hypothesis test at the 5% significance level to determine if this sample provides sufficient evidence to support the glaciologist's suggestion.
For n=25n = 25n=25, the critical value for a one-tailed test at the 5% level for the population correlation coefficient is 0.33650.33650.3365.
Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 202 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
