2) A city manager wanted to determine if the pay scale of sewage plant workers from two neighboring cities were equal. A sample of 15 sanitation engineers from the two cities was randomly selected. The mean from Star City was $28,900 with a standard deviation of $2300. The mean from Central City was $30,300 with a standard deviation of $2100. Compare the salaries using a hypothesis test and advise the council of your findings. Use a=0.05. a) Relevant data from the question: b) Hypothesis: Copy c) Critical value (tcritical): d) Test statistic (tstat) and the decision about the test statistic: (reject or fail to reject Ho): e) Conclusion that results from the decision about Ho