A study was conducted 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...

A study was conducted 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 $49,100 with a standard deviation of $4300. The mean from the second city was $51,300 with a standard deviation of $3100. Test the hypothesis that the salaries from both cities are equal. Use α = 0.05. Assume the two populationsdon't have equal variances and samples are taken from normally distributed populations.