2. A group of fifteen smokers were asked for their age and the number of cigarettes they smoked in a certain time period. Let A be the random variable of the age recorded for each smoker and X the...

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Extracted text: 2. A group of fifteen smokers were asked for their age and the number of cigarettes they smoked in a certain time period. Let A be the random variable of the age recorded for each smoker and X the number of cigarettes consumed in a given time period. (a) State the Null and Alternative Hypotheses for an appropriate test to deter- mine if the two variables are correlated. Explain how already having the value of r from the previous question part will affect the structure of your test. (b) It is knOwn that r = -0.7124. Carry out an appropriate test to determine if the two variables are negatively correlated. (c) Explain the phrase 'Correlation is not Causation." Give possible explana- tions for both a negative correlation and then for a positive correlation in this investigation.