For some reason, you've decided to play a game of Monopoly with your friends. After what seems like one too many “lucky" rolls in a row, you start to think that one of your friends is cheating. After nearly 10 hours of playing, each of your friends fall asleep. You decide to take advantage of the situation and test the hypothesis that the two, six-sider dice are fair. You roll the two dice 1000 times, noting the sum of the two dice each time. The table below shows the results of your 1000 rolls. Is there any evidence that these dice are unfair? Sum 2 3 4 5 Count 40 58 88 109 6 7 148 164 8 9 10 11 12 135 95 80 63 20
For some reason, you've decided to play a game of Monopoly with your friends. After what seems like one too many “lucky" rolls in a row, you start to think that one of your friends is cheating. After nearly 10 hours of playing, each of your friends fall asleep. You decide to take advantage of the situation and test the hypothesis that the two, six-sider dice are fair. You roll the two dice 1000 times, noting the sum of the two dice each time. The table below shows the results of your 1000 rolls. Is there any evidence that these dice are unfair? Sum 2 3 4 5 Count 40 58 88 109 6 7 148 164 8 9 10 11 12 135 95 80 63 20
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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Answer this question in R. Show as much of your work as possible.
Transcribed Image Text:For some reason, you've decided to play a game of Monopoly with your friends.
After what seems like one too many “lucky" rolls in a row, you start to think that
one of your friends is cheating. After nearly 10 hours of playing, each of your friends
fall asleep. You decide to take advantage of the situation and test the hypothesis
that the two, six-sider dice are fair. You roll the two dice 1000 times, noting the
sum of the two dice each time. The table below shows the results of your 1000
rolls. Is there any evidence that these dice are unfair?
Sum 2 3 4
Count 40 58 88
5
109
6 7
8 9 10 11 12
164 135 95 80 63 20
148
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