Conclusion:
Based on the analysis of my data, I have come forward with the following conclusions:
There is no correlation between the number of outlets having > 15 ppb lead levels of the schools and the mean scale score in Mathematics for all grades of that school
The underlying distribution of the mean scale score for Mathematics for grades 3-8 for all schools in NYC for the year is not a normal distribution.
There is no difference in the distribution of the scores of the students in schools with outlets having >15 ppb lead levels and those who don’t.
There is no difference in the proportion of the boys and girls of all grades in schools having higher than average mean scale score in Math for all > 0 outlets with > 15 ppb lead levels.
There is a difference in the proportion of the various ethnicities of the schools having >15 ppb high lead level in water outlets with mean scale score greater than the average mean scale score for these schools.
There is a difference in the proportion of the economic backgrounds of the schools having > 15 ppb high lead water levels with mean scale score greater than the average mean scale score of all such schools.