Problem #1: (20 points) The following data were obtained on a study of the relationship between the weight and chest size of infants at birth: WEIGHT (kg) CHEST SIZE (cm) 3.80 29.5 2.50 26.3 3.41 3.52 3.21 3.32 d P 32.2 36.5 27.2 27.7 2.31 28.3 4.30 30.3 3.73 28.7 At 5% level of significance, is there a significant correlation between the infant's weight and chest size?Problem #2: (20 points) A course is designed to increase readers' speed and comprehension. To evaluate the effectiveness of this course, a test is given both before and after the course, and sample results follows. At the 0.05 significance level, test the claim that the scores are higher after the course. Before 110 90 100 1/1 168 200 98 112 123 110 After 103 120 115 150 175 180 125 130 127 112 110