Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2 3 5 6 8 Xi 53.0 47.1 44.9 41.3 52.7 46.7 12.9 49 3 54.3 48.2 47.2 46.7 54.4 47.9 45.4 51.4 (a) Determine d, = X; - Y; for each pair of data. Observation 3 5 6 8 di (Type integers or decimals.) (b) Compute d and Sa- d= (Round to three decimal places as needed.) So = (Round to three decimal places as needed.) (c) Test if py 0 H1: Hd = 0 H1: Ha 0 H1: Hd