During annual checkup, physicians routinely sent their patientsto medical labora

Question

During annual checkup, physicians routinely sent their patientsto medical laboratories to have various tests performed. One suchtest determines the cholesterol level in patients’ blood.However, not all tests are conducted in the same way. To acquiremore information, a man was sent to 10 laboratories and had hischolesterol level measured in each. The results are listed here.Estimate with 95% confidence the variance of thesemeasurements.

188

193

186

184

190

195

187

190

192

196

188

193

186

184

190

195

187

190

192

196

Explanation / Answer

You have to start off by calculating the mean 1st µ = 188 + 193 + 186 + 184 + 190 + 195 + 187 + 190 +192 + 196 = 1901 = 190.1                                                 10(nsample)                                             10 To calculate the varience its(x1-µ)2/ n-1. so you calculatethe folowing: (188-190.1)2 + (193-190.1)2 +(186-190.1)2 + (184-190.1)2 +(190-190.1)2 + (195-190.1)2 +(187-190.1)2 + (190-190.1)2 +(192-190.1)2 + (196-190.1)2 / (10-1) = 4.41 + 8.41 + 16.81 + 37.21 + 0.01 + 24.01 + 9.61 +0.01+ 3.61 + 34.81/ 9 = 138.9/ 9 = varience = 15.433

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