Assignment 2 Text Questions - Carleton



Assignment 2 Text Questions

4.16 A simple random sample of 100 water meters witnin a community is monitored to estimate the average daily water consumption per householdover a specified dry spell. The sample mean and sample variance are found to be [pic]= 12.5 and s2 = 1252. If we assume that there are N = 10,000 households within the community, estimate μ, the true mean daily consumption.

4.20 The Fish and Game Department of a particular state was concerned about the direction of its future hunting programs. To provide for a greater potential for future hunting, the department wanted to determine the proportion of hunters seeking any type of game bird. A simple random sample of n = 1000 of the N = 99,000 licensed hunters was obtained. Suppose 430 indicated they hunted game birds. Estimate p the proportion of licensed hunters seeking game birds.

4.27 An investigator is interested in estimating the total number of "count" trees (trees larger than a specified size) on a plantation of N = 1500 acres. This information is used to determine the total volume of lumber for trees on the plantation. A simple random sample of n = 100 1-acre plots was selected, and each plot was examined for the number of count trees. The sample average was [pic]= 25.2 with a sample variance of s2 = 136.

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