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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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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.
Leal levels (μg/dL) 13.6
14.3
9.7
9.4 11.4 10.9
BMI (kg/m2) 19.7
19.9
20.1
22.1 19.8 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 interpret your pvalue and results.

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