Taking an SAT preparatory course is believed to improve test scores. To investigate the effects of taking a preparatory course, scores were recorded for 5 students before and after they took the preparatory course. Does the data below support the claim that a preparatory course increases test scores? Use a significance level of \(\alpha =0.10\) to test the claim. Student Before After 1 1200 1260 2 1100 1060 3 1050 950 4 1000 920 5 1000 1040 Denote by \(\mu _{d}\) the mean of the differences of the test scores for all students, where \(d=\) "Before - After". What is the p-value? Keep 4 decimal places. \(\circ \) 0.3199 \(\circ \) 0.4069 \(\circ \) 0.5777 \(\circ \) 0.4223 \(\circ \) None of the provided answers