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Консультация № 189899
17.10.2016, 11:40
0.00 руб.
17.10.2016, 11:59
0
5
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
По выборке, извлеченной из нормальной генеральной совокупности, построить ряд распределения, найти точечные оценки математического ожидания, дисперсии, стандартного отклонения, несмещенную оценку дисперсии. Найти доверительные интервалы для оценок математического ожидания и дисперсии, соответствующие доверительной вероятности В=0,95.
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По выборке, извлеченной из нормальной генеральной совокупности, построить ряд распределения, найти точечные оценки математического ожидания, дисперсии, стандартного отклонения, несмещенную оценку дисперсии. Найти доверительные интервалы для оценок математического ожидания и дисперсии, соответствующие доверительной вероятности В=0,95.
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Обсуждение
17.10.2016, 11:59
общий
Обратите, пожалуйста, внимание на эту консультацию, перенесённую из другого раздела.
Об авторе:
Facta loquuntur.
Facta loquuntur.
20.10.2016, 22:09
общий
это ответ
Здравствуйте, alenchik2545!
Объём выборки
Ряд распределения
Точечная оценка математического ожидания - выборочная средняя
Смещённая оценка дисперсии - выборочная дисперсия
Смещённая оценка стандартного отклонения - выборочное стандартное отклонение
Несмещённая оценка дисперсии
Несмещённая оценка стандартного отклонения
При уровне значимости
и 
по таблице квантилей распределения Стьюдента находим 
Тогда 
Значит, доверительный интервал для математического ожидания суть
Для построения доверительного интервала для дисперсии при уровне значимости и по таблице квантилей 
-распределения находим 
Тогда доверительный интервал для дисперсии суть (см. здесь)
Объём выборки
Ряд распределения
Точечная оценка математического ожидания - выборочная средняя
Смещённая оценка дисперсии - выборочная дисперсия
Смещённая оценка стандартного отклонения - выборочное стандартное отклонение
Несмещённая оценка дисперсии
Несмещённая оценка стандартного отклонения
При уровне значимости
и по таблице квантилей распределения Стьюдента находим Тогда Значит, доверительный интервал для математического ожидания сутьДля построения доверительного интервала для дисперсии при уровне значимости
и по таблице квантилей -распределения находим Тогда доверительный интервал для дисперсии суть (см. здесь)
Об авторе:
Facta loquuntur.
Facta loquuntur.
то по таблице. Об этом сказано в ответе.
Форма ответа
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