Design further experiments that illustrate the difficulties

Reference no: EM131182490

TEAM PROJECT. Difficulty with Random Selection. 77 students were asked to choose 3 of the integers 11, 12, 13, ..., 30 completely arbitrarily. The amazing result was as follows.

Number	11	12	13	14	15	16	17	18	19	20
Frequency	11	10	20	8	13	9	21	9	16	8
Number	21	22	23	24	25	26	27	28	29	30
Frequency	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. Test these hypotheses, using a = 5%. Design further experiments that illustrate the difficulties of random selection.

Reference no: EM131182490

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