Question

Recently, researchers have begun to focus on the relationship between potentially toxic environmental exposures in children to a number of adverse health outcomes. Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and BMI (kg/m²). The following table represents a SRS of households with the corresponding exterior lead levels and BMI of a randomly sampled child in the home.

lead levels (ug/dL)	BMI (Kg/m2)
13.6	19.7
14.3	19.9
9.7	20.1
9.4	22.1
11.4	19.8
10.9	21.6

A) Write out the null and alternative hypotheses for a formal test of significance testing the correlation between the two variables.

B) Calculate a t statistic and make your conclusion regarding the relationship between lead levels and BMI.

Answer 1