A scientist is examining the relationship between smoking and life expectancy in the Australian population and has hired you to help with the statistical analysis. Suppose the average life span of non-smoking Australians is normally distributed with a mean of 82 years and a standard deviation of 9 years. A random sample of 25 recently deceased smokers is taken and the average age at death is calculated to be 72.2 years. Test (at the 5% significance level) if smokers have the same life expectancy as non-smokers. Answer the following questions. State the hypothesis in this scenario and how it can be tested. Calculate the test statistic. Would you reject the null hypothesis or not? Explain why