1 The University of Hong Kong Department of Statistics and Actuarial Science STAT0302 Business StatisticsExample Class 81.A detergent packaging machine produces at 14 independent operations packets with the following quantities (in grams): 200 204 207 204 199 200 203 203 197 201 206 204 202 205 It is known that the population of packet weights has a normal distribution with mean . (a)Obtain an unbiased estimate of the population mean . (b)Determine a 95% confidence interval for. (c)Using the confidence interval, is there any statistical evidence to suggest that, the mean packet weight of the process, is not equal to 204g at significance level 0.05? 2.A study was conducted by the Florida Game and Fish Commission to assess the amount of chemical residues found in the brain tissue of brown pelicans. In a test for DDT, random samples of 10 juveniles and 13 nestlings gave the results shown in the table below (measurements in parts per million). Juveniles Nestlings 110n213
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University of Hong Kong Department of Statistics, Florida Game and Fish Commission