The totals of the individual weights of garbage discarded by 62 households in one week have a mean of 27.443 lb (based on Data Set 22 in Appendix B). Assume that the standard deviation of the weights is 12.458 lb. Use a 0.05 significance level to test the claim that the population of households has a mean less than 30 lb, which is the maximum amount that can be handled by the current waste removal system. Is there any cause for concern?

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Data Set 22: Weights of Discarded Garbage for One Week Weights are in pounds. HHSIZE is the household size. Data provided by Masakuza Tani, the Garbage Project, University of Arizona. 234567 SOFASSADONG6 8 Household HHSize Metal 1 2 1.09 1.04 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names: 32 33 34 35 36 NMM6 456 MS6N&&M M N NA 3 3 2 1 4 4 7 3 5 2 4 4 3 3 2 2 4 1 4 TOIMINN 2462 6 11 3 4 3 2 Data set name is Garbage. Worksheet name is GARBAGE.MTW. Workbook name is GARBAGE.XLS. 2 App name is GARBAGE, and the file names are the same as for text files. HHSIZ, METAL, PAPER, PLAS, GLASS, FOOD, YARD, TEXT, OTHER, TOTAL. 2.57 3.02 1.50 2.10 1.93 3.57 2.32 1.89 3.26 3.99 2.04 0.99 2.96 1.50 2.43 2.97 1.42 3.60 4.48 1.36 2.11 0.41 2.02 3.27 4.95 1.00 1.55 1.41 1.05 1.31 2.50 2.35 3.69 3.61 Paper Plas Glass 2.41 0.27 0.86 7.57 1.41 3.46 9.55 2.19 8.82 2.83 8.72 2.19 1.81 0.85 6.96 6.83 3.05 3.42 6.38 2.10 13.05 2.93 11.36 2.44 15.09 2.17 2.80 1.41 6.44 2.00 5.86 0.93 11.08 2.97 12.43 2.04 6.05 0.65 2.13 0.63 14.33 1.53 13.31 4.69 0.15 11.42 16.08 13.61 6.98 3.27 6.67 17.65 12.73 9.83 16.39 6.33 9.19 9.41 9.45 12.32 20.12 7.72 1.45 2.68 3.53 1.49 2.31 0.92 0.89 0.80 0.72 2.66 4.37 0.92 4.52 4.92 6.31 2.49 0.51 5.81 1.96 17.67 3.21 4.94 3.10 1.39 5.21 2.03 1.74 3.99 6.26 3.52 2.01 2.21 0.25 0.09 6.85 2.33 5.45 2.04 4.98 3.54 1.06 2.70 1.14 12.24 5.67 2.43 Food 1.04 3.68 4.43 2.98 6.30 1.46 8.82 9.62 4.41 2.73 9.31 3.59 5.36 1.47 7.06 2.52 1.75 5.64 1.93 6.46 6.72 5.76 9.72 0.16 5.52 11.92 4.68 4.76 7.85 2.90 2.87 5.09 3.17 2.40 13.20 2.07 Yard Text Other 0.38 0.05 4.66 0.00 0.46 2.34 0.24 0.50 0.63 2.26 0.15 0.55 4.58 0.36 0.07 0.60 4.76 0.21 0.13 0.81 3.86 0.66 0.70 0.37 13.45 4.25 0.74 0.42 0.82 0.44 6.14 0.20 0.27 1.37 14.70 0.39 0.22 2.47 0.00 0.86 0.00 0.96 2.00 0.11 0.58 0.17 0.02 0.46 0.00 0.68 0.28 0.00 0.00 0.83 0.00 0.67 0.42 0.54 2.04 0.20 3.85 0.03 0.33 0.01 0.64 0.05 0.00 0.02 7.87 4.73 0.00 1.15 0.68 0.63 3.60 12.65 2.18 2.14 2.22 10.83 4.14 0.25 11.61 1.15 4.15 1.03 14.43 9.65 2.54 9.20 0.00 1.32 0.18 1.62 0.40 0.00 0.03 4.03 19.89 0.12 Total 0.01 0.78 1.17 0.00 10.76 19.96 27.60 38.11 27.90 21.90 21.83 49.27 33.27 35.54 44.44 45.17 33.07 10.35 44.44 24.13 37.60 38.96 17.17 31.60 23.11 27.56 30.96 4.08 23.22 42.99 51.90 20.20 36.80 19.02 1.48 0.04 0.03 15.43 0.71 20.71 17.01 45.35 49.37 18.06 Household HHSize 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5W WAAS W N N W W N N N N 2 2 3 3 2 3 6 4 3 3 10 3 6 5 4754NN 2 2 2 Metal 1.49 1.36 1.73 0.94 1.33 2.62 1.25 0.26 4.41 3.22 1.86 1.76 2.83 2.74 4.63 1.70 3.29 1.22 3.20 3.09 2.58 1.67 0.85 1.52 1.37 1.32 Paper 6.16 7.98 9.64 8.08 10.99 13.11 3.26 1.65 10.00 8.96 9.46 5.88 8.26 12.45 10.58 5.87 8.78 11.03 12.29 20.58 12.56 9.92 3.45 9.09 3.69 2.61 Plas 1.40 1.45 1.68 1.53 1.44 1.44 1.36 0.38 1.74 2.35 2.30 1.14 2.88 2.13 5.28 1.48 3.36 2.83 2.87 2.96 1.61 1.58 1.15 1.28 0.58 0.74 Glass Food Yard 4.02 4.00 6.45 4.27 1.89 1.87 1.78 8.13 2.93 1.82 2.89 0.99 1.93 3.61 2.53 3.76 1.32 2.64 12.33 1.79 3.99 4.44 9.25 4.02 1.38 1.59 0.85 8.87 3.64 3.03 3.51 4.21 3.34 0.77 1.14 1.45 6.54 0.92 5.14 4.59 2.94 1.42 10.44 3.00 5.91 16.81 5.01 9.96 3.89 4.83 1.78 3.37 0.30 0.04 0.02 0.12 0.01 1.73 0.36 0.00 4.73 2.69 0.34 0.92 0.00 0.00 Text Other Total 0.00 17.41 2.02 23.67 0.58 0.05 1.12 5.60 1.07 0.12 0.39 0.64 0.00 0.04 0.08 0.09 0.65 0.00 0.35 0.41 0.12 2.94 0.00 0.27 0.90 1.71 4.30 1.95 1.32 1.87 0.47 0.00 0.21 0.13 0.20 0.00 0.02 0.00 0.95 0.08 0.00 0.17 0.00 1.52 0.59 0.49 0.16 0.00 4.60 1.12 2.45 0.04 2.03 1.14 15.65 0.59 13.30 6.02 0.55 2.13 1.46 1.13 1.04 1.61 0.00 0.46 19.13 20.99 21.18 29.06 14.95 4.43 24.82 20.80 25.79 14.62 28.41 27.17 54.47 13.12 45.77 34.79 37.26 51.58 24.81 26.18 11.25 28.15 11.14 11.70