Question: please help with part b. thank you Check Your Understanding City council members want to estimate how many pounds of trash households in their community

please help with part b. thank you

Check Your Understanding City council members want to estimate how many pounds of trash households in their community produce per week. To determine an estimate for the standard deviation of the weight of trash produced a small random sample of households was selected and their trash was weighed on garbage day. This produced an estimated standard deviation of 36 pounds. a. How many households need to be surveyed to estimate / at the 95% confidence level with a margin of error of at most 3 pounds? 32194 . 36 1,281 students 19 3 1.96 0 3 2 1280,21 b. After solving part (a), the city council realizes that it would be too much work to weigh the garbage of that many households. They give up on their hopes of estimating the true mean weight of trash produced within 3 pounds and select a random sample of 15 households and weigh the trash for each of these households on garbage day. Here are the results: 114.8 74.3 80.1 41.5 99.1 31.0 93.1 118.9 26.5 33.1 88.3 46.1 119.7 46.4 19.8 Calculate and interpret a 95% confidence interval for the mean weight of trash for all households in this community

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