The city of Laguna Beach operates two public parking lots. Theone on Ocean Drive can accommodate up to 125 cars and the one onRio Rancho can accommodate up to 130 cars. City planners areconsidering both increasing the size of the lots and changing thefee structure. To begin, the Planning Office would like someinformation on the number of cars in the lots at various times ofthe day. A junior planner officer is assigned the task of visitingthe two lots at random times of the day and evening and countingthe number of cars in the lot. The study lasted over a period ofone month. Below is the number of cars in the lots for 25 visits ofthe Ocean Drive lot and 28 visits of the Rio Rancho lot. Assume thepopulation standard deviation is equal and use an alpha value of0.01 to determine if it is reasonable to conclude that there is adifference in the mean number of cars in the two lots?
A. What is the null hypothesis statement for this problem?
B. What is the alternative hypothesis statement for thisproblem?
C. What is alpha for this analysis?
D. What is the most appropriate test for this problem? (chooseone of the following)
a. t-Test: Paired Two Sample for Means
b. t-Test: Two-Sampled Assuming Equal Variances
c. t-Test: Two-Sample Assuming Unequal Variances
d. z-Test: Two Sample for Means
E. What is the value of the test statistic for the mostappropriate analysis?
F. What is the lower bound value of the critical statistic? Ifone does not exist (i.e. is not applicable for this type analysis),document N/A as your response.
G. What is the upper bound value of the critical statistic? Ifone does not exist (i.e. is not applicable for this type analysis),document N/A as your response.
H. It is reasonable to conclude that there is a difference inthe mean number of cars in the two lots? (choose one of thefollowing) a. Yes
b. No
I. What is the p-value for this analysis? (Hint: Use this valueto double check your conclusion)