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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 558<br />

✬<br />

V naˇsem primeru smo uporabili le eno količino in <strong>si</strong>cer skupno ˇstevilo metov<br />

kocke (n = 120). Torej ˇstevilo prostostnih stopenj je m = k−1 = 6−1 = 5.<br />

Ničelna in osnovna domneva sta tedaj<br />

✫<br />

H0 : χ 2 = 0 in H1 : χ 2 > 0.<br />

Doomnevo preverimo pri stopnji značilnosti α = 5%.<br />

Ker gre za enostranski test, je kritična vrednost enaka<br />

χ 2 1−α(k − 1) = χ 2 0,95(5) = 11, 1.<br />

Eksperimentalna vrednost statistike pa je<br />

χ 2 e =<br />

(20 − 20)2<br />

20<br />

+ (22 − 20)2<br />

20<br />

+ (17 − 20)2<br />

20<br />

(18 − 20) 2<br />

+<br />

20<br />

(19 − 20)2<br />

+<br />

20<br />

(24 − 20)2<br />

20<br />

4 + 9 + 4 + 1 + 16<br />

=<br />

20<br />

34<br />

= 1, 7.<br />

20<br />

Univerza v Ljubljani ▲<br />

❙ ▲<br />

▲<br />

=<br />

+<br />

● ❙ ▲<br />

▲<br />

☛ ✖<br />

▲<br />

✩<br />

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