Data represents property taxes paid by 170 residents that live in a small town. Assume this file to be the entire population. Answer all of the following questions :
a. Conduct a test at the alpha = .05 level to determine if there is a difference in taxes paid by another jurisdiction. The information on this other jurisdiction is population information. In this other jurisdiction, the mean taxes paid by 243 residents are $1751.68 with a population standard deviation of $141.62. State Ho and Ha, Critical T or Z, and the decision.
b. What is the 95% confidence interval for the difference between the taxes paid in the two jurisdictions from problem a. State the upper and lower limits.
c. Conduct a test at the alpha = .05 level to determine if there is a difference between taxes paid in neighborhood 1 and in neighborhood 4. Use all the data points from both neighborhoods and consider this to be sample data. State Ho and Ha, Critical T or Z, Calculated T or Z, and the decision.
d. From part c, what is the 95% confidence interval for the difference between means in the two neighborhoods. State the upper and lower limits.
e. For part c, conduct a test at alpha = .05 to see if the variances between the two neighborhoods are unequal. State F Critical, F Test, and the decision.