Пример. T-показатель вектора данных

Функции > Статистика > Распределения вероятностей > Пример. T-показатель вектора данных

Вычислите T-показатель для вектора данных с нормальным распределением относительно указанного среднего значения.

1. Задайте вектор данных для анализа

Щелкните для копирования этого выражения

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2. Соберите статистику выборки.

Число выборок
Среднее значение выборки
Среднеквадратическое отклонение для выборки
Среднеквадратическая ошибка среднего.
Степень свободы

3. Определите уровень значимости и предлагаемое среднее для совокупности.

4. Вычислите T-показатель.

5. Задайте нулевую и альтернативную гипотезы.

H0: m ≤ μ

H1: m > μ

6. Рассчитайте p-значение и проверьте гипотезу.

Существует вероятность 0.106, что критерий значимости больше, чем наблюдаемый критерий, при условии, что нулевая гипотеза истинна. Сравнение p-значения с уровнем значимости показывает, что альтернативная гипотеза не может быть истинной.

7. Рассчитайте предел критической области и проверьте гипотезу.

Примите нулевую гипотезу. Нет данных, подтверждающих, что среднее значение превышает μ.

8. Нанесите на график распределение Стьюдента (синий), границу критической области (красный) и T-показатель (зеленый).

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Распределение Стьюдента

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