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FEUILLE DE PROGRAMME
t =
(x – m)
x
n
1
n
No.
3
Pas
Opération de touches
Affichage Pas
Opération de touches
Affichage
L’opération précédente produit la valeur test t t(53) = 0,7533708035. Selon le tableau de répartition t
suivant, le niveau de signification de 5% et le degré de liberté 7 (n – 1 = 8 – 1 = 7) produisent la valeur
test
t approximative 2,365 à double face. Comme la valeur test t calculée est inférieure à celle du
tableau, l’hypothèse que la moyenne de population
m est égale à 53 est acceptée.
Programme pour
Valeur test t
Description
La moyenne (moyenne sur un échantillon) et l’écart-type sur un échantillon peuvent être utilisés
pour obtenir une valeur test
t.
o : moyenne des données x
x
σn–1 : écart-type de données x sur un échantillon
n : nombre de données
m : écart-type hypothétique sur une population (normalement
représentée par
µ
, mais m est utilisé ici du fait de la limite
des noms de variables)
Exemple Déterminer si l’écart-type sur une population est 53 pour les échantillons 55, 54, 51,
55, 53, 53, 54, 52
Effectuez le test
t avec un niveau de signification de 5%.
Préparation et opération
Stockez le programme écrit sur la page suivante.
Exécutez le programme comme indiqué ci-dessous.
t =
(x – m)
x
n
1
n
206


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