Page 60 - Basic Statistics

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The rejection region or the rejection values is shown in Figure 4.3

Figure 4.3 The rejection region if used alternative hypothesis H :   
0
1

Worked Example 4.1:

In an interesting collection of data with a sample from a population

obtained (after the data are sorted) as follows :

7.8910 8.7619 8.8901 9.1033 9.8530
9.8728 10.0135 10.3151 10.3221 10.8333

11.0250 11.5518 11.9744 12.3591 12.7180

If we know that the data is from a normally distributed population with

variance is 2 and wanted to know whether the population still has a mean value

of 10, then we will perform the following hypothesis test, if let's say you want to

use significance level  = 0.05.

Worked Solution:

Test hypothesis:

H :  = 10
0
H :   10
1

~~* CHAPTER 4 HYPOTHESIS TESTING *~~