In: Statistics and Probability
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) |
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 interpret your p value and results.
first, we have to find the correlation between Lead Level and BMI
a)
we will test if there is a correlation between the two variable or not
b) we will conduct the test at 0.05 significance level.