From the class data, what is the 95% confidence interval for the mean proportion

Question

From the class data, what is the 95% confidence interval for the mean proportion of green m&ms. Assume anormally distributed population for the proportion of green m&ms contained in a bag. Show your work

Hint 1: The number of samples n is the number of bags tested by the class

Hint 2: Use the average and standard deviation computed for you in the second tanle given.

Hint 3. You answer should be a range of percentages/proportions

m&m class data - ENGR 110 F15 Numbers of each color are given in the table below. Group # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 total % Blue 11 15 21 6 10 15 12 11 7 12 15 19 15 8 10 187 0.217948718 Brown 6 15 4 11 7 8 6 9 8 12 14 3 8 12 7 130 0.151515152 Green 13 10 9 16 16 11 14 16 12 12 4 14 13 6 19 185 0.215617716 Orange 8 4 8 8 7 15 12 11 6 9 14 10 9 20 2 143 0.166666667 Red 8 9 8 7 12 7 6 7 13 8 5 5 5 9 10 119 0.138694639 Yellow 8 6 9 10 3 2 6 5 9 6 7 4 5 4 10 94 0.10955711 Total 54 59 59 58 55 58 56 59 55 59 59 55 55 59 58 858 1 Proportion of each color (see average and standard deviation column) are given in the table below. Group # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ave (%) st dev (%) Blue 0.204 0.254 0.356 0.103 0.182 0.259 0.214 0.186 0.127 0.203 0.254 0.345 0.273 0.136 0.172 0.218 0.073 Brown 0.111 0.254 0.068 0.190 0.127 0.138 0.107 0.153 0.145 0.203 0.237 0.055 0.145 0.203 0.121 0.151 0.057 Green 0.241 0.169 0.153 0.276 0.291 0.190 0.250 0.271 0.218 0.203 0.068 0.255 0.236 0.102 0.328 0.217 0.071 Orange 0.148 0.068 0.136 0.138 0.127 0.259 0.214 0.186 0.109 0.153 0.237 0.182 0.164 0.339 0.034 0.166 0.076 Red 0.148 0.153 0.136 0.121 0.218 0.121 0.107 0.119 0.236 0.136 0.085 0.091 0.091 0.153 0.172 0.139 0.044 Yellow 0.148 0.102 0.153 0.172 0.055 0.034 0.107 0.085 0.164 0.102 0.119 0.073 0.091 0.068 0.172 0.110 0.043 Total 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Explanation / Answer

From the class data, what is the 95% confidence interval for the mean proportion

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