In: Statistics and Probability
A study was conducted by a local city council to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Analysis the data using a hypothesis test and advise the council of your findings. Use a=0.05 .
a) Hypothesis :
b) Critical value (tcritical) :
c) Test statistic (tstat) and the decision about the test statistic: (reject or fail to reject Ho) :
d) Conclusion that results from the decision about Ho :