TEAM PROJECT. Difficulty with Random Selection. 77
Chapter 25, Problem 25.7(choose chapter or problem)
TEAM PROJECT. Difficulty with Random Selection. 77 students were asked to choose 3 of the imegers II, 12, 13, ... ,30 completely arbitrarily. The amazing result was as follows. '\lumber Il 12 13 14 15 16 17 18 19 20 Frequ. 11 10 20 8 13 9 21 9 16 8 Number 21 22 23 24 25 26 27 28 29 30 rrequ. 12 8 15 10 10 9 12 8 13 9 If the selection were completely random, the following hypotheses should be true. (a) The 20 numbers are equally likely. (b) The 10 even numbers together are as likely as the 10 odd numbers together. (c) The 6 prime numbers together have probability 0.3 and the 14 other numbers together have probability 0.7. Te~t these hypotheses. using a = 5%. Design further experiments that illustrate the difficulties of random selectiOn.
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