Question: Let's take a two-stage unequal-probability sample without replacement from the population of statistics classes. 5 classes are selected and 3 students are selected from

Let's take a two-stage unequal-probability sample without replacement from the population of

Let's take a two-stage unequal-probability sample without replacement from the population of statistics classes. 5 classes are selected and 3 students are selected from each class. The psu inclusion probabilities is proportional to the class sizes M. We want to estimate the total number of hours spent studying statistics. The summary data are presented in the table below. Class Mi 3 Wij Yij WijYj 1 44 0.34003 0.068182 43.13345 215.6672 176 517.6014 10717.01 44 0.34003 0.068182 43.13345 3 129.4003 44 0.34003 0.068182 43.13345 4 172.5338 46 0.35549 0.065217 43.13295 3 129.3989 153.3333 431.3295 297.6014 46 0.35549 0.065217 43.13295 215.6648 11 46 0.35549 0.065217 43.13295 2 86.26591 13 46 0.35549 0.065217 43.13295 4 172.5318 168.6667 | 474.4625 3646.237 13 46 0.35549 0.065217 43.13295 215.6648 13 46 0.35549 0.065217 43.13295 86.26591 9. 54 0.41731 0.055556 43.1334 3.5 150.9669 153 366.6339 2250.979 54 0.41731 0.055556 43.1334 4 172.5336 54 0.41731 0.055556 43.1334 1 43.1334 76 0.58733 0.039474 43.13305 3 129.3991 164.6667 280.3648 17879.32 76 0.58733 0.039474 43.13305 1.5 64.69957 76 0.58733 0.039474 43.13305 2 86.2661 a) Using the data in table, estimate the total number of hours spent studying statistics, along with standard error. (by hand). b) Using the SAS procedure, estimate the total number of hours spent studying statistics, along with standard error. nm m unN 117

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