Nine students took the SAT. Their scores are listed below. Later on, they took a test preparation course and retook the SAT. Their new scores are listed below. Construct a 95% confidence interval for ud. Assume that the distribution is normally distributed. Student 1 2 3 4 5 6 7 8 9 Scores before course 720 860 850 880 860 710 850 1200 950 Scores after course 740 860 840 920 890 720 840 1240 970 O (1.651, 30.590) (-30.503, -0.617) O (-10.321, 15.436) O (-20.341, 4.852)Find the standardized test statistic to test the claim that H1* H2. Two samples are randomly selected from each population. The sample statistics are given below. Use a = 0.02. n1 = 51 n2 = 38 x 1 = 3.3 x2 = 3.7 $1 = 0.76 $2 = 0.51 O -2.97 O -1.82 O -2.32 O -2.12Data sets A and B are dependent. Find sd. A 6.7 7.7 9.6 6.6 6.7 B 9.1 8.0 7.9 7.8 9.2 Assume that the paired data came from a population that is normally distributed. O 1.89 O 1.32 O 1.73 1.21