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Then, we reject H
0
: μ = 150, against H
1
: μ ≠ 150. The test z value is z
0
=
5.656854. The P-value is 1.54×10
-8
. The critical values of ±z
α/2
=
±1.959964, corresponding to critical ⎯x range of {147.2 152.8}.
This information can be observed graphically by pressing the soft-menu key
@GRAPH:
Example 2
-- For μ
0
= 150, ⎯x = 158, s = 10, n = 50, for α = 0.05, test the
hypothesis H
0
: μ = μ
0
, against the alternative hypothesis, H
1
: μ > μ
0
. The
population standard deviation, σ, is not known.
Press ‚Ù—— @@@OK@@@ to access the hypothesis testing feature in the
calculator. Press ——@@@OK@@@ to select option 5. T-Test: 1 μ.:
Enter the following data and press @@@OK@@@:
Select the alternative hypothesis, H
1
: μ > 150, and press @@@OK@@@. The result is: