Question: ASSIGNED PROBLEM 3: You wish to learn the average number of pounds of garbage disposed of in a week by the people within 2 pounds.

ASSIGNED PROBLEM 3: You wish to learn the average number of pounds of garbage disposed of in a week by the people within 2 pounds. Using the standard deviation from problem 1 as an estimate, how large of a sample should you get?

sample standard deviation

12.2653

You wish to learn the proportion of homes that recycle within 10% and with 99% confidence. How large of a sample should you get?

HHSIZE METAL PAPER PLAS GLASS FOOD YARD TEXT OTHER TOTAL RECYCLE

2 1.09 2.41 0.27 0.86 1.04 0.38 0.05 4.66 10.76 NO

3 1.04 7.57 1.41 3.46 3.68 0 0.46 2.34 19.96 NO

3 2.57 9.55 2.19 4.52 4.43 0.24 0.5 3.6 27.6 NO

5 3.02 8.82 2.83 4.92 2.98 0.63 2.26 12.65 38.11 YES

4 1.5 8.72 2.19 6.31 6.3 0.15 0.55 2.18 27.9 YES

2 2.1 6.96 1.81 2.49 1.46 4.58 0.36 2.14 21.9 YES

5 3.57 11.42 3.05 5.81 9.62 4.76 0.21 10.83 49.27 YES

5 2.32 16.08 3.42 1.96 4.41 0.13 0.81 4.14 33.27 YES

4 1.89 6.38 2.1 17.67 2.73 3.86 0.66 0.25 35.54 YES

4 3.26 13.05 2.93 3.21 9.31 0.7 0.37 11.61 44.44 NO

5 3.99 11.36 2.44 4.94 3.59 13.45 4.25 1.15 45.17 YES

3 2.04 15.09 2.17 3.1 5.36 0.74 0.42 4.15 33.07 YES

5 0.99 2.8 1.41 1.39 1.47 0.82 0.44 1.03 10.35 NO

5 2.96 6.44 2 5.21 7.06 6.14 0.2 14.43 44.44 YES

2 1.5 5.86 0.93 2.03 2.52 1.37 0.27 9.65 24.13 NO

4 2.43 11.08 2.97 1.74 1.75 14.7 0.39 2.54 37.6 YES

4 2.97 12.43 2.04 3.99 5.64 0.22 2.47 9.2 38.96 YES

3 1.42 6.05 0.65 6.26 1.93 0 0.86 0 17.17 YES

3 3.6 13.61 2.13 3.52 6.46 0 0.96 1.32 31.6 NO

2 4.48 6.98 0.63 2.01 6.72 2 0.11 0.18 23.11 YES

2 1.36 14.33 1.53 2.21 5.76 0.58 0.17 1.62 27.56 NO

4 2.11 13.31 4.69 0.25 9.72 0.02 0.46 0.4 30.96 YES

4 2.02 6.67 1.45 6.85 5.52 0 0.68 0.03 23.22 NO

5 3.27 17.65 2.68 2.33 11.92 0.83 0.28 4.03 42.99 YES

5 4.95 12.73 3.53 5.45 4.68 0 0.67 19.89 51.9 YES

3 1 9.83 1.49 2.04 4.76 0.42 0.54 0.12 20.2 YES

4 1.55 16.39 2.31 4.98 7.85 2.04 0.2 1.48 36.8 YES

3 1.41 6.33 0.92 3.54 2.9 3.85 0.03 0.04 19.02 YES

2 1.05 9.19 0.89 1.06 2.87 0.33 0.01 0.03 15.43 YES

2 1.31 9.41 0.8 2.7 5.09 0.64 0.05 0.71 20.71 NO

2 2.5 9.45 0.72 1.14 3.17 0 0.02 0.01 17.01 NO

4 2.35 12.32 2.66 12.24 2.4 7.87 4.73 0.78 45.35 YES

5 3.69 20.12 4.37 5.67 13.2 0 1.15 1.17 49.37 YES

2 3.61 7.72 0.92 2.43 2.07 0.68 0.63 0 18.06 NO

2 1.49 6.16 1.4 4.02 4 0.3 0.04 0 17.41 YES

2 1.36 7.98 1.45 6.45 4.27 0.02 0.12 2.02 23.67 NO

2 1.73 9.64 1.68 1.89 1.87 0.01 1.73 0.58 19.13 YES

2 0.94 8.08 1.53 1.78 8.13 0.36 0.12 0.05 20.99 NO

3 1.33 10.99 1.44 2.93 3.51 0 0.39 0.59 21.18 YES

3 2.62 13.11 1.44 1.82 4.21 4.73 0.64 0.49 29.06 YES

2 1.25 3.26 1.36 2.89 3.34 2.69 0 0.16 14.95 YES

2 0.26 1.65 0.38 0.99 0.77 0.34 0.04 0 4.43 NO

3 4.41 10 1.74 1.93 1.14 0.92 0.08 4.6 24.82 YES

5 3.22 8.96 2.35 3.61 1.45 0 0.09 1.12 20.8 YES

4 1.86 9.46 2.3 2.53 6.54 0 0.65 2.45 25.79 YES

4 1.76 5.88 1.14 3.76 0.92 1.12 0 0.04 14.62 YES

3 2.83 8.26 2.88 1.32 5.14 5.6 0.35 2.03 28.41 NO

3 2.74 12.45 2.13 2.64 4.59 1.07 0.41 1.14 27.17 YES

5 4.63 10.58 5.28 12.33 2.94 0.12 2.94 15.65 54.47 YES

3 1.7 5.87 1.48 1.79 1.42 0 0.27 0.59 13.12 YES

5 3.29 8.78 3.36 3.99 10.44 0.9 1.71 13.3 45.77 NO

5 1.22 11.03 2.83 4.44 3 4.3 1.95 6.02 34.79 YES

4 3.2 12.29 2.87 9.25 5.91 1.32 1.87 0.55 37.26 NO

5 3.09 20.58 2.96 4.02 16.81 0.47 1.52 2.13 51.58 YES

5 2.58 12.56 1.61 1.38 5.01 0 0.21 1.46 24.81 NO

4 1.67 9.92 1.58 1.59 9.96 0.13 0.2 1.13 26.18 YES

2 0.85 3.45 1.15 0.85 3.89 0 0.02 1.04 11.25 NO

4 1.52 9.09 1.28 8.87 4.83 0 0.95 1.61 28.15 YES

2 1.37 3.69 0.58 3.64 1.78 0.08 0 0 11.14 NO

2 1.32 2.61 0.74 3.03 3.37 0.17 0 0.46 11.7 YES

ASSIGNED PROBLEM 3: You wish to learn the average

HHSIZE 2 FOOD 1.04 3.68 PLAS 0.27 1.41 2.19 2.83 2.19 1.81 3.05 2.98 63 1.46 9.62 4.41 2.73 9.31 3.59 5.36 TEXT 0.06 0.46 05 2.26 0.55 0.36 0.21 0.81 YARD 038 0 0.24 0.63 0.15 4 58 4.76 0.13 3.86 07 13.45 0.74 0.82 6.14 RECYCLE NO NO NO YES YES YES YES YES 3 5 4 2 5 5 4 4 5 3 5 5 2 4 YES METAL 1.09 1.04 2.57 3.02 1.5 2.1 3.57 2.32 1.89 3.26 3.99 2.04 0.99 2.96 1.5 2.43 2.97 1.42 3.6 4.48 1.36 2.11 2.02 3.27 4.95 0.37 2.1 2.93 2.44 2.17 1.41 2 PAPER 241 7.57 9.55 8.82 8.72 6.96 11.42 16.08 6.38 13.05 11.36 15.09 28 6.44 5.86 11.08 12.43 6.05 1361 6.98 14.33 13.31 6.67 17.65 1273 9.83 16.39 6.33 9.19 0.93 4 3 3 2 2. 4 297 2.04 0.65 2.13 0.63 1.53 4.69 1.45 2.68 3.53 1.49 2.31 0.92 0.89 0.8 0.72 266 4.37 0.92 5 5 3 GLASS 86 3.46 4.52 4.92 6.31 2.49 5.81 1.96 17.67 3.21 4.94 3.1 1.39 5.21 2.03 1.74 3.99 6.26 3.52 2.01 2.21 0.25 6.85 2.33 5.45 2.04 4.98 3.54 1.06 2.7 1.14 12.24 5.67 2.43 4.02 6.45 1.89 1.78 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 7.06 2.52 1.75 5.64 1.90 6.46 6.72 5.78 9.72 5.52 11.92 4.58 4.76 7.85 29 2.87 5.09 3.17 24 132 2.07 4 4.25 0.42 0.44 0.2 0.27 0.39 2.47 0.86 0.96 0.11 0.17 0.46 0.68 0.28 0.67 0.54 0.2 0.03 0.01 0.06 0.02 4.73 1.15 0.63 0.04 147 0.22 0 0 2 0.58 0.02 0 0.83 0 0.42 2.04 3.85 0.33 0.64 0 787 3 2 2 2 OTHER 4.66 2.34 36 1265 2.18 2.14 10.83 4.14 0.25 11.61 1.15 4.15 1.03 14.43 9.55 2.54 9.2 0 1.32 0.18 1.62 0.4 0.03 4.03 19.89 0.12 1.48 0.04 0.03 0.71 0.01 0.78 1.17 0 0 2.02 0.58 0.05 0.59 0.49 0.16 0 4.6 1.12 2.45 0.04 2.03 1.14 15.65 0.59 133 6.02 0.55 2.13 1.46 1.13 1.04 1.61 TOTAL 10.76 19.96 27.6 38.11 27.9 21.9 49.27 33 27 35.54 44 44 45.17 33.07 10.35 44.44 24.13 37.6 38.96 17.17 31.6 23.11 27.56 30.96 23.22 42.99 51.9 20.2 36.8 19.02 15.43 20.71 17.01 45.35 49.37 18.06 17.41 23.67 19.13 20.99 21.18 29.06 14.95 4.43 24.82 20.8 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 11.7 9.45 12 32 20.12 7.72 6.16 7.98 0.12 1 1.55 1.41 1.05 1.31 2.5 2.35 3.69 3.61 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 1.7 3.29 1.22 3.2 3.09 2.58 1.67 0.85 1.52 1.37 1.32 1.45 1.68 1.53 NO YES YES NO YES NO YES YES YES NO YES NO YES NO YES YES YES YES YES YES NO NO YES YES NO YES NO YES NO YES YES YES NO YES YES YES YES NO YES YES YES NO YES NO YES NO YES NO YES NO YES 5 2 2. 2 2 2 3 3 2 2 3 5 1.73 1.87 8.13 3.51 4.21 3.34 0.77 1.14 1.45 6.54 0.92 5.14 4.59 2.94 0.68 0.3 0.02 0.01 0.36 0 4.73 269 0.34 0.92 0 0 1.12 5.6 1.07 0.12 0 09 4 8.08 10.99 13.11 3.26 1.65 10 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 3.69 261 3 1.44 1.36 0.38 1.74 235 2.3 1.14 288 2.13 5.28 148 3.36 2.83 287 2.96 1.61 1.58 1.15 1.28 0.58 0.74 3 5 3 5 5 4 5 5 0.12 0.39 0.64 0 0.04 0.08 0.09 0.65 0 0.35 0.41 2.94 0.27 1.71 1.95 1.87 1.52 0.21 0.2 0.02 0.96 0 0 10.44 43 5.91 16.81 5.01 1.32 0.47 o 9.25 4.02 1.38 1.59 0.85 8.87 3.64 3.03 2 3.89 4.83 0.13 0 0 0.00 0.17 2 2 3.37 0.46 HHSIZE 2 FOOD 1.04 3.68 PLAS 0.27 1.41 2.19 2.83 2.19 1.81 3.05 2.98 63 1.46 9.62 4.41 2.73 9.31 3.59 5.36 TEXT 0.06 0.46 05 2.26 0.55 0.36 0.21 0.81 YARD 038 0 0.24 0.63 0.15 4 58 4.76 0.13 3.86 07 13.45 0.74 0.82 6.14 RECYCLE NO NO NO YES YES YES YES YES 3 5 4 2 5 5 4 4 5 3 5 5 2 4 YES METAL 1.09 1.04 2.57 3.02 1.5 2.1 3.57 2.32 1.89 3.26 3.99 2.04 0.99 2.96 1.5 2.43 2.97 1.42 3.6 4.48 1.36 2.11 2.02 3.27 4.95 0.37 2.1 2.93 2.44 2.17 1.41 2 PAPER 241 7.57 9.55 8.82 8.72 6.96 11.42 16.08 6.38 13.05 11.36 15.09 28 6.44 5.86 11.08 12.43 6.05 1361 6.98 14.33 13.31 6.67 17.65 1273 9.83 16.39 6.33 9.19 0.93 4 3 3 2 2. 4 297 2.04 0.65 2.13 0.63 1.53 4.69 1.45 2.68 3.53 1.49 2.31 0.92 0.89 0.8 0.72 266 4.37 0.92 5 5 3 GLASS 86 3.46 4.52 4.92 6.31 2.49 5.81 1.96 17.67 3.21 4.94 3.1 1.39 5.21 2.03 1.74 3.99 6.26 3.52 2.01 2.21 0.25 6.85 2.33 5.45 2.04 4.98 3.54 1.06 2.7 1.14 12.24 5.67 2.43 4.02 6.45 1.89 1.78 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 7.06 2.52 1.75 5.64 1.90 6.46 6.72 5.78 9.72 5.52 11.92 4.58 4.76 7.85 29 2.87 5.09 3.17 24 132 2.07 4 4.25 0.42 0.44 0.2 0.27 0.39 2.47 0.86 0.96 0.11 0.17 0.46 0.68 0.28 0.67 0.54 0.2 0.03 0.01 0.06 0.02 4.73 1.15 0.63 0.04 147 0.22 0 0 2 0.58 0.02 0 0.83 0 0.42 2.04 3.85 0.33 0.64 0 787 3 2 2 2 OTHER 4.66 2.34 36 1265 2.18 2.14 10.83 4.14 0.25 11.61 1.15 4.15 1.03 14.43 9.55 2.54 9.2 0 1.32 0.18 1.62 0.4 0.03 4.03 19.89 0.12 1.48 0.04 0.03 0.71 0.01 0.78 1.17 0 0 2.02 0.58 0.05 0.59 0.49 0.16 0 4.6 1.12 2.45 0.04 2.03 1.14 15.65 0.59 133 6.02 0.55 2.13 1.46 1.13 1.04 1.61 TOTAL 10.76 19.96 27.6 38.11 27.9 21.9 49.27 33 27 35.54 44 44 45.17 33.07 10.35 44.44 24.13 37.6 38.96 17.17 31.6 23.11 27.56 30.96 23.22 42.99 51.9 20.2 36.8 19.02 15.43 20.71 17.01 45.35 49.37 18.06 17.41 23.67 19.13 20.99 21.18 29.06 14.95 4.43 24.82 20.8 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 11.7 9.45 12 32 20.12 7.72 6.16 7.98 0.12 1 1.55 1.41 1.05 1.31 2.5 2.35 3.69 3.61 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 1.7 3.29 1.22 3.2 3.09 2.58 1.67 0.85 1.52 1.37 1.32 1.45 1.68 1.53 NO YES YES NO YES NO YES YES YES NO YES NO YES NO YES YES YES YES YES YES NO NO YES YES NO YES NO YES NO YES YES YES NO YES YES YES YES NO YES YES YES NO YES NO YES NO YES NO YES NO YES 5 2 2. 2 2 2 3 3 2 2 3 5 1.73 1.87 8.13 3.51 4.21 3.34 0.77 1.14 1.45 6.54 0.92 5.14 4.59 2.94 0.68 0.3 0.02 0.01 0.36 0 4.73 269 0.34 0.92 0 0 1.12 5.6 1.07 0.12 0 09 4 8.08 10.99 13.11 3.26 1.65 10 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 3.69 261 3 1.44 1.36 0.38 1.74 235 2.3 1.14 288 2.13 5.28 148 3.36 2.83 287 2.96 1.61 1.58 1.15 1.28 0.58 0.74 3 5 3 5 5 4 5 5 0.12 0.39 0.64 0 0.04 0.08 0.09 0.65 0 0.35 0.41 2.94 0.27 1.71 1.95 1.87 1.52 0.21 0.2 0.02 0.96 0 0 10.44 43 5.91 16.81 5.01 1.32 0.47 o 9.25 4.02 1.38 1.59 0.85 8.87 3.64 3.03 2 3.89 4.83 0.13 0 0 0.00 0.17 2 2 3.37 0.46

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