The personnel director of a company wishes to select applicants for advanced training
without regard to sex. Let ‘W’ denote women and ‘M’ denote men and the pattern of arrival
be ‘M WWW MMM WW M WWWW MMMM W M W MM WWW MM W MMMM
WW M WW MMMM WW M WWWW MM WW M W M WW’. Will you conclude that
the applicants have arrived in a random fashion?
29) The following arrangement shows the rise(U) or fall(D) in the price of an equity share on
40 consecutive trading days on which its price did not remain the same:
U U D D U U U D U U U D D U D D D U D D U D D U U U U D D D D U U D U U D D D
U
Test the hypothesis that this arrangement of Us and Ds is random at α =0.05 level of
significance.
30) The sequence of occurrence of ‘zeros’ and ‘ones’ in a message sent in a digital code is
shown below. Test at 5 percent whether the sequence of ‘0’ and ‘1’ is random 00110 11011
00001 11100 00110 11001 11110 00011 00100 11000 11100 00011 11100 00000 11111
10001 11000 10001 01110.
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