In: Statistics and Probability
In Flint, the local government changed policy about clean water, and it has resulted in an increase of lead in the drinking water (this is a true story). This is suspected to decrease IQ in children (there is a lot of evidence to suggest that this too is true). Given the made up data below, complete all 5 steps for hypothesis testing (use p-value and confidence interval, but not critical value). Listed in the data table are IQ scores for two simple random samples of subjects with medium and high lead levels in their blood. Assume that the two samples are independent simple random samples selected from normally distributed populations. We do not know what the population standard deviations are, and we’ll use an alpha of 5%. Is there a difference in IQ scores between the two samples? (Data is fabricated for this exam.) Medium Lead Levels = Sample 1 High Lead Levels = Sample 2 ?̅1 = 100 ?̅2 = 95 ?1 = 11 ?2 = 16 ?1 = 59 ?2 = 66