A chemical engineer is studying the relationship between the concentration of a new catalyst, ccc grams per litre, and the time taken for a specific polymerization reaction to complete, ttt minutes. The engineer suspects that there is a negative correlation between the catalyst concentration and the reaction time.
A random sample of 60 trials is conducted. The product moment correlation coefficient (PMCC) for this sample is calculated as r=−0.312r = -0.312r=−0.312.
Carry out a hypothesis test at the 1% significance level to determine if the sample provides sufficient evidence to support the engineer's suspicion.
For n=60n = 60n=60, the critical value for a one-tailed test at the 1% level for the population correlation coefficient is 0.2997.
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.
