Pearson Edexcel Level 3 GCE..Statistics Advanced PAPER 2: Statistical Inferenc. THE PREDICTOR,. RATE YOURSELF FOR EXAMS.

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1 Ramon is conducting a research project. He has taken a random sample of 16 pairs of values for (x, y). He has then calculated, from his data, a sample Pearson’s product moment correlation coeff... icient of 0.716 Ramon believes that this calculated figure indicates that the population Pearson’s product moment correlation coefficient is significantly different from zero. (a) Conduct a hypothesis test to investigate Ramon’s belief. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________________________1 Ramon is conducting a research project. He has taken a random sample of 16 pairs of values for (x, y). He has then calculated, from his data, a sample Pearson’s product moment correlation coefficient of 0.716 Ramon believes that this calculated figure indicates that the population Pearson’s product moment correlation coefficient is significantly different from zero. (a) Conduct a hypothesis test to investigate Ramon’s belief. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________________________V1 Ramon is conducting a research project. He has taken a random sample of 16 pairs of values for (x, y). He has then calculated, from his data, a sample Pearson’s product moment correlation coefficient of 0.716 Ramon believes that this calculated figure indicates that the population Pearson’s product moment correlation coefficient is significantly different from zero. (a) Conduct a hypothesis test to investigate Ramon’s belief. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________________________ Ramon has also produced a scatter graph from his data, shown in Figure 1. y 0.0 5.0 10.0 15.0 20.0 25.0 30.0 100.0 90.0 80.0 70.0 60.0 50.0 40.0 30.0 20.0 10.0 0.0 x Ramon’s scatter graph Figure 1 (b) With reference to the scatter graph, explain why the conclusion made from the hypothesis test conducted in (a) may not be valid. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ______________________________________________________ [Show More]

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