Questios: Test for ll thnder Normality; with Large Sample. Let x have a N(u,02) distributien. Cousider tte lypot, ese) testing: Ho : l = plo Vs. Hqi M7 Ho with a Lf the des ired Size of the test is a:(oLaai). aud let X, 2,;Xu be a random Scmple frem the dis tri bution N(4,02) with Sample Mean ī and varian ce st o Spe cified lo. The rule for te ane-Sided t-test is: Reject Ho in faver of Hz if T=X-llo to, n-1. Also, Coubider the 2-Sicled test for: Ho: l = llo Vs. H1: U+llo with the rule: Reject Ho in faver of HI if 8-d6zt n-1 . -lo * Show that for l 7 o, the power function of the Due -Sided test es larger than ttl power fun ctien of the tro-Sided tesf.

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Questios: Test for ll thnder Normality; with Large Sample.
Let x have a N(u,02) distributien. Cousider tte lypot, ese)
testing: Ho : l = plo Vs. Hqi M7 Ho with a
Lf the des ired Size of the test is a:(oLaai). aud let X, 2,;Xu
be a random Scmple frem the dis tri bution N(4,02) with Sample
Mean ī and varian ce st o
Spe cified lo.
The rule for te ane-Sided t-test is:
Reject Ho in faver of Hz if T=X-llo
to,
n-1.
Also, Coubider the 2-Sicled test for: Ho: l = llo Vs. H1: U+llo
with the rule: Reject Ho in faver of HI if 8-d6zt n-1 .
-lo
* Show that for l 7 o, the power function of the Due -Sided test
es larger than ttl power fun ctien of the tro-Sided tesf.
Transcribed Image Text:Questios: Test for ll thnder Normality; with Large Sample. Let x have a N(u,02) distributien. Cousider tte lypot, ese) testing: Ho : l = plo Vs. Hqi M7 Ho with a Lf the des ired Size of the test is a:(oLaai). aud let X, 2,;Xu be a random Scmple frem the dis tri bution N(4,02) with Sample Mean ī and varian ce st o Spe cified lo. The rule for te ane-Sided t-test is: Reject Ho in faver of Hz if T=X-llo to, n-1. Also, Coubider the 2-Sicled test for: Ho: l = llo Vs. H1: U+llo with the rule: Reject Ho in faver of HI if 8-d6zt n-1 . -lo * Show that for l 7 o, the power function of the Due -Sided test es larger than ttl power fun ctien of the tro-Sided tesf.
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