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Tue Jul 3 21:36:52 2007 UTC (5 years, 10 months ago) by jjholt
File size: 2768 byte(s)
Added stat problems.  Tags to be fixed soon.


    1 ## DESCRIPTION
2 ##  Statistics: Descriptive statistics
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('statistics', 'descriptive statistics')
6 ## NAW tagged this problem.
7
8 ## DBchapter('What is Statistics?')
9 ## DBsection()
10 ## Date('6/8/2005')
11 ## Author('Nolan A. Wages')
12 ## Institution('UVA')
13 ## TitleText1('Statistics for Management and Economics')
14 ## EditionText1('6')
15 ## AuthorText1('Keller, Warrack')
16 ## Section1()
17 ## Problem1()
18
19
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGnumericalmacros.pl",
28 "PGstatisticsmacros.pl",
29 "PGauxiliaryFunctions.pl"
30 );
31
32 TEXT(beginproblem());
33 $showPartialCorrectAnswers = 0; 34 install_problem_grader(~~&std_problem_grader); 35 36$mc[1] = new_multiple_choice();
37 $mc[1]->qa('If you roll an unbiased die 50 times, you should expect an even number to appear: ', 38 'on the average, 25 out of the 50 rolls' 39 ); 40$mc[1]->extra(
41     'at least twice in the 50 rolls',
42     'on every other roll',
43     '25 out of the 50 rolls'
44 );
45
46
47 $mc[2] = new_multiple_choice(); 48$mc[2]->qa('Which of the following is a requirement of the probabilities assigned to the
49 outcomes $$O_i$$:',
50     '$$0 \leq P(O_i)\leq 1$$ for each i '
51 );
52 $mc[2]->extra( 53 '$$P(O_i) \leq 0$$', 54 '$$P(O_i) \geq 1$$', 55 '$$P(O_i) = 1 + P(O_i^C)$$' 56 ); 57 58 59$mc[3] = new_multiple_choice();
60 $mc[3]->qa('Which of the following statements is correct given that the events 61 A and B have nonzero probabilities?', 62 'A and B cannot be both independent and mutually exclusive' 63 ); 64$mc[3]->extra(
65     'A and B can be both independent and mutually exclusive',
66     'A and B are always independent',
67     'A and B are always mutually exclusive'
68 );
69
70
71
72 $mc[4] = new_multiple_choice(); 73$mc[4]->qa('If an experiment consists of five outcomes with $$P(O_1) = 0.10$$,
74 $$P(O_2) = 0.20$$, $$P(O_3) = 0.30$$, $$P(O_4) = 0.40$$, then $$P(O_5)$$ is:',
75     '0'
76 );
77
78 $mc[4]->extra( 79 '0.50', 80 '0.25', 81 '1' 82 ); 83 84 85$mc[5] = new_multiple_choice();
86 $mc[5]->qa('Of the last 500 customers entering a supermarket, 87 50 have purchased a loaf of bread. If the relative frequency approach for assigning probabilities 88 is used, the probability that the next customer will purchase a loaf of bread is:', 89 '0.10' 90 ); 91$mc[5]->extra(
92     '0.50',
93     '0.90',
94 );
95
96 $mc[5]->makeLast( 97 'None of the above answers is correct' 98 ); 99 100 101$a = random(1,5,1);
102 $b = random(1,5,1); 103 while ($a == $b) { 104$b = random(1,5,1);
105 }
106
107
108 BEGIN_TEXT
109 $PAR 110 \{$mc[$a]->print_q() \} 111 112 \{$mc[$a]->print_a() \} 113$PAR
114 \{ $mc[$b]->print_q() \}
115
116 \{ $mc[$b]->print_a() \}
117 $PAR 118 119 END_TEXT 120 121 ANS(radio_cmp($mc[$a]->correct_ans)); 122 ANS(radio_cmp($mc[\$b]->correct_ans));
123
124 ENDDOCUMENT();       # This should be the last executable line in the problem.


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