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Консультация № 202710
05.05.2022, 03:22
0.00 руб.
1
1
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Из генеральной совокупности извлечена выборка объёмом n = 12. Найти доверительный интервал для математического ожидания нормально распределённой генеральной совокупности, если доверительная вероятность у = 0,95. Фото выборки прилагаю.
Из генеральной совокупности извлечена выборка объёмом n = 12. Найти доверительный интервал для математического ожидания нормально распределённой генеральной совокупности, если доверительная вероятность у = 0,95. Фото выборки прилагаю.
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Обсуждение
05.05.2022, 18:24
общий
05.05.2022, 18:43
это ответ
Здравствуйте, svrvsvrv!
Вычислим сначала оценку
для 
Дисперсия неизвестна. Поэтому вычислим исправленное среднее квадратическое отклонение
случайной величины 
По таблице квантилей t-распределения Стьюдента для
и 
определим 
Значит, 
Искомый доверительный интервал такой:
Вычислим сначала оценку
для Дисперсия неизвестна. Поэтому вычислим исправленное среднее квадратическое отклонение
случайной величины По таблице квантилей t-распределения Стьюдента для
и определим Значит, Искомый доверительный интервал такой:
5
Благодарю!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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