The Federal No Child Left Behind Act requires periodic testing in standard subjects. A random sample of 50 junior high school students from Atlanta was selected, and each student’s scores on a standardized mathematics examination and a standardized English examination were recorded. School administrators were interested in the relationship between the two scores. Suppose the correlation coefficient for the two examination scores is 0.75.
a. Provide an explanation of the sample correlation coefficient in this context.
b. Using a level of significance of a = 0.01, test to determine whether there is a positive linear relationship between mathematics scores and English scores for junior high school students in Atlanta.