1 Let N = 6 and n = 3. For purposes of studying sampling distributions, assume that all population values are known. y1 = 98 y2 = 102 y3 = 154 y4 = 133 y5 = 190 y6 = 175 We are interested in , the population mean. Two sampling plans are proposed. Plan 1. Eight possible samples may be chosen. Sample Number Sample, S P(S) 1 {1,3,5} 1/8 2 {1,3,6} 1/8 3 {1,4,5} 1/8 4 {1,4,6} 1/8 5 {2,3,5} 1/8 6 {2,3,6} 1/8 7 {2,4,5} 1/8 8 {2,4,6} 1/8 Plan 2. Three possible samples may be chosen. Sample Number Sample, S P(S) 1 {1,4,6} 1/4 2 {2,3,6} 1/2 3 {1,3,5} 1/4 a What is the value of ? b Let be the mean of the sample values. For each sampling plan, find 1 Let N = 6 and n = 3. For purposes of studying sampling distributions, assume that all population values are known. y1 = 98 y2 = 102 y3 = 154 y4 = 133 y5 = 190 y6 = 175