July 2012
Intermediate to advanced
400 pages
9h 33m
English
Content preview from Statistical Inference: A Short Course
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10.7 Hypothesis Tests for μ (σ Known)
Example 10.1
A sample of size n = 25 is taken from a population that is N(μ,6) (μ is unknown but σ is known) and it is determined that 
= 43.75. Test H0: μ = μo = 40 versus H1: μ > 40 at the α = 0.05 level of significance. Following part (a) above,
Since 
(Fig. 10.4), 
. With 
= 3.125 > 1.645, we are within R so that we reject H0 at the 0.05 level of significance. Here 
= 43.75 exceeds 
= 40 by 3.75 units—that is greater than 
, the lower limit for “too much.”
Figure 10.4 Right-tail test with α = 0.05.
Example 10.2
A sample of size n = 25 is extracted from ...
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