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Консультация № 183292
23.05.2011, 14:07
49.39 руб.
23.05.2011, 15:34
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Известно эмпирическое распределение выборки объема n случайной величины x. Проверить гипотезу о распределении по закону Пуассона генеральной совокупности этой величины. Использовать критерий согласия Пирсона (хи-квадрат) при уровне значимости а=0,05.
[table]
[row][col]xi[/col][col]
[row][col]ni[/col][col]500[/col][col]330[/col][col]130[/col][col]29[/col][col]9[/col][col]2[/col][col]1000[/col][/row]
[/table]
Известно эмпирическое распределение выборки объема n случайной величины x. Проверить гипотезу о распределении по закону Пуассона генеральной совокупности этой величины. Использовать критерий согласия Пирсона (хи-квадрат) при уровне значимости а=0,05.
[table]
[row][col]xi[/col][col]
0
[/col][col]1
[/col][col]2
[/col][col]3
[/col][col]4
[/col][col]5
[/col][col]n
[/col][/row][row][col]ni[/col][col]500[/col][col]330[/col][col]130[/col][col]29[/col][col]9[/col][col]2[/col][col]1000[/col][/row]
[/table]
Обсуждение
23.05.2011, 16:28
общий
это ответ
Здравствуйте, Посетитель - 364448!
1. Находим среднее:
2. Расчитываем оценку параметра показательного распределения:
3. Находим вероятности попадания в интервалы:
4. Вычисляем теоретические частоты:
5. Вычисляем значение критерия:
6. Находим табличное значение для уровня значимости 0,05 и 4 степеней свободы (количество интервалов-2): 9,5
Поскольку 22,73>9,5, есть основания отвергнуть гипотезу о показательном распределении.
1. Находим среднее:
2. Расчитываем оценку параметра показательного распределения:
3. Находим вероятности попадания в интервалы:
4. Вычисляем теоретические частоты:
5. Вычисляем значение критерия:
6. Находим табличное значение для уровня значимости 0,05 и 4 степеней свободы (количество интервалов-2): 9,5
Поскольку 22,73>9,5, есть основания отвергнуть гипотезу о показательном распределении.
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