Test the following hypotheses against two-sided alternatives using the given information. In the following, Xn is the
Question:
Test the following hypotheses against two-sided alternatives using the given information.
In the following, Xn is the sample mean, s
³
Xn
´
is its standard error, s2 is the sample variance, n the sample size, and ¹ Æ E[X].
(a) H0 : ¹ Æ 0, Xn Æ 1.2, s
³
Xn
´
Æ 0.4.
(b) H0 : ¹ Æ 0, Xn Æ ¡1.6, s
³
Xn
´
Æ 0.9.
(c) H0 : ¹ Æ 0, Xn Æ ¡3.5, s2 Æ 36, n Æ 100.
(d) H0 : ¹ Æ 1, Xn Æ 0.4, s2 Æ 100, n Æ 1000.
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