7) From a list of faculty sizes for American 4-year colleges and universities, it is desired to estimate the average faculty size for an academic year. Public schools are typically larger compared to private ones, so stratification is appropriate. The type of school (public vs private) is easily obtained, whereas faculty data are more difficult to capture. A sample of 141 schools obtained the following: Private Public Total n, 84 n=57 n'=141 Use the information given there to estimate the average faculty size for American colleges in this study. Construct an estimated variance for your estimate of the average and interpret. Public, n₂-12 Faculty Private, n₁ = 11 Faculty 122 452 88 131 65 996 55 50 79 106 79 326 506 75 371 32 108 428 298 110 128 280

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7) From a list of faculty sizes for American 4-year colleges and universities, it is desired to estimate the
average faculty size for an academic year. Public schools are typically larger compared to private ones,
so stratification is appropriate. The type of school (public vs private) is easily obtained, whereas faculty
data are more difficult to capture. A sample of 141 schools obtained the following:
Private Public
Total
n₁ 84 n₂ 57 n' = 141
Use the information given there to estimate the average faculty size for American colleges in this study.
Construct an estimated variance for your estimate of the average and interpret.
Public, n₂ = 12
Private, n₁ = 11
Faculty
Faculty
122
452
88
131
65
996
55
50
79
106
79
326
40
506
75
371
32
108
428
298
110
128
280
Transcribed Image Text:7) From a list of faculty sizes for American 4-year colleges and universities, it is desired to estimate the average faculty size for an academic year. Public schools are typically larger compared to private ones, so stratification is appropriate. The type of school (public vs private) is easily obtained, whereas faculty data are more difficult to capture. A sample of 141 schools obtained the following: Private Public Total n₁ 84 n₂ 57 n' = 141 Use the information given there to estimate the average faculty size for American colleges in this study. Construct an estimated variance for your estimate of the average and interpret. Public, n₂ = 12 Private, n₁ = 11 Faculty Faculty 122 452 88 131 65 996 55 50 79 106 79 326 40 506 75 371 32 108 428 298 110 128 280
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