Table 181

-The Mathematics S $r_{S}$
B Test the Null Hypothesis of No Correlation Using

Essay

Table 18.1

-The mathematics S.A.T. scores and college grade point averages of eight students are given in table 18.1.
a. Calculate the rank-correlation coefficient $r_{S}$ .
b. Test the null hypothesis of no correlation using $r_{\mathrm{S}}$ . Let $\alpha=0.05$ .