Is there a good reason to believe that evening customers purchase, on average, more than day customers? Support your answer by performing a statistical test on the difference between the mean day purchase and the mean evening purchase (using a two-tailed test).

DAY EVENING Purchase Revenue Cost Purchase Revenue Cost 32.50 23.89 40.29 32.00 35.22 25.90 34.66 25.20 39.99 30.40 35.87 24.01 23.08 16.53 36.40 28.60 39.48 28.32 30.95 24.95 30.55 20.17 33.69 22.42 24.77 18.49 33.82 25.89 30.13 21.11 34.92 23.07 31.16 24.91 35.15 25.39 34.67 25.75 32.89 22.99 32.37 25.03 36.30 28.63 40.71 29.61 38.44 29.51 33.07 23.31 32.49 25.36 43.86 29.51 34.91 25.26 45.88 36.39 52.78 37.08 42.31 29.83 37.43 28.81 36.69 29.89 30.20 19.86 43.59 28.51 37.99 26.54 31.38 23.55 26.90 19.19 32.09 21.66 47.19 34.88 26.78 17.93 33.48 25.12 26.39 18.38 44.20 36.09 33.84 22.96 33.52 22.76 32.39 25.24 37.15 26.24 25.29 17.72 35.81 26.79 21.11 14.41 37.61 25.68 27.60 22.23 30.29 24.51 37.79 25.50 31.07 23.27 38.37 29.00 24.35 19.50 27.14 21.31 34.90 28.07

DAY EVENING Purchase Purchase Revenue Cost Revenue Cost 32.50 23.89 40.29 32.00 35.22 25.90 34.66 25.20 39.99 30.40 35.87 24.01 23.08 16.53 36.40 28.60 39.48 28.32 30.95 24.95 30.55 20.17 33.69 22.42 24.77 18.49 33.82 25.89 30.13 21.11 34.92 23.07 31.16 24.91 35.15 25.39 34.67 25.75 32.89 22.99 32.37 25.03 36.30 28.63 40.71 29.61 38.44 29.51 33.07 23.31 32.49 25.36 43.86 29.51 34.91 25.26 45.88 36.39 52.78 37.08 42.31 29.83 37.43 28.81 36.69 29.89 30.20 19.86 43.59 28.51 37.99 26.54 31.38 23.55 26.90 19.19 32.09 21.66 47.19 34.88 26.78 17.93 33.48 25.12 26.39 18.38 44.20 36.09 33.84 22.96 33.52 22.76 32.39 25.24 37.15 26.24 25.29 17.72 35.81 26.79 21.11 14.41 37.61 25.68 27.60 22.23 30.29 24.51 37.79 25.50 31.07 23.27 38.37 29.00 24.35 19.50 27.14 21.31 34.90 28.07