Please show ALL your work!

1. (10pts) It has become common, though potentially inaccurate, to believe that playing classical music to infants can increase their brain development, spatial awareness, and creativity. A child development specialist wants to test whether the exposure to Mozart's calming compositions does, in fact, increase childhood neural development. He gathers a sample of 10 children chosen at random and tracks them from infancy through college. When each of his subjects turns 16, he administers an IQ test and then compares the results with the average hours a year the participant was played Mozart's melodies as an infant. Pearson's correlation coefficient is 0.85.

1Q Score Hours of Mozart/Year 128 68 104 51 96 18 107 26 106 36 99 47 91 10 111 72 131 94 117 48