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statistical tests 1 - TABLE 10.3 Summary of statistical...

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Unformatted text preview: TABLE 10.3 Summary of statistical tests of hypotheses Distribution of Alternative Reject Hypothesis Conditions Test statistic test statistic hypothesis null hypothesis 1’6 - Mo 1.[L=}Lo arknown z= Normal(0,1) ”$1.14, z<—za,2 0% Z > Za/z M < #0 z < _Za p, > ”.0 z > z. ‘ - no . . . 2 p. = no 0' unknown t = tdlstnbutlon n =fi no t < -ta,2 S/\/'_1 v = n — 1 t > rm p. < #0 t < —t.,, p. > ”.0 t > ta 3. a" = 0'0 p, unknown X2 = (n - 1)sz/0'3 chi—square 0' #5 0'0 X2 < X12712 V = n - 1 X2 > )fiflm 0' < 00 X2 < X: 0 > ‘70 X2 > xi—a (3—51 _ i2) _ 5 4. p1 — M = 6 a" and 0'2 known z = T _ Normal (0, 1) (pl — pa) 9E 6 z < _Zl—ad2 X‘—11 Z > Zlim a'— __(fi+fi)l/2 (Ml—M)<6 Z<Zl—a x, X1 n1 n2 (ll-1— [4/2) > 5 Z > Zl—a 5 0'1 = 0'; x’s normal and F = sf/sg Fm: 01 ¢ 0'1 F > F1_a,2 independent F < F11” 0'1 > 0'2 F > F1-“ ...
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