The "Even More Music" worksheet in the data pack represents a random sample of hit songs (released in the 1980's, 1990's, 2000's, and 2010's) and their length (measured in minutes). a. Using a 5% significance level, conduct an appropriate hypothesis test to determine whether the average length of a song differs by decade. (10 marks) b. Construct and interpret a 95% confidence interval for the difference in the average length of a song released in the 1990's and 2010's. (5 marks) 1980's 1990's 2000's 2010's 3.57 3.34 3.38 4.29 4.25 4.52 4.04 3.11 4.37 4.19 4.10 3.54 3.47 4.05 3.34 3.41 3.41 4.17 4.49 4.05 4.38 2.42 4.02 4.02 3.52 3.52 3.27 3.33 3.12 4.14 3.34 3.15 4.51 3.47 4.41 4.32 3.50 3.57 4.57 5.06 4.30 4.56 3.28 3.40 4.44 3.32 3.51 3.17 3.14 3.52 3.49 3.02 3.32 5.46 4.17 3.39 3.32 4.50 3.16 3.48 3.29 4.10 3.53 3.36 5.19 4.02 5.10 3.31 5.17 4.17 4.37 4.21 4.49 3.34 3.46 3.22 3.35 4.42 3.40 3.48 4.16 3.47 3.01 5.03 4.28 3.23 3.41 4.32 4.20 4.30 4.49 3.51 3.26 2.38 4.10 4.13 6.31 3.28 3.54 3.25 2.54 3.11 5.53 3.16