An analysis of water testing to determine lead content was conducted in the metropolitan area. Specifically samples were taken at 100 homes in the area of Guaynabo and another 100 samples were taken in the area of Hato Rey. In the study you want to check if there is a difference between the average levels of lead in these areas. The following table presents the results of sampling for each area.
|
Guaynabo
|
Hato Rey
|
|
Sample Size
|
100
|
100
|
|
Average (ppm)
|
34.1
|
36.0
|
|
Standard deviation (ppm)
|
5.9
|
6.0
|
1. Perform hypothesis test using α = 0.05.
2. When the test of hypothesis with a fixed level of significance (α = 0.05) has the disadvantage that the researcher truly does not know how far or how close is the value of the test statistic in the critical region. Calculate the p-value (i.e., true value of probability of an event) for this study.