HP F2226A - 48GII Graphic Calculator - Page 616

Page 18-45
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:
We reject the null hypothesis, H
0
: µ
0
= 150, against the alternative hypothesis,
H
1
: µ > 150. The test t value is t
0
= 5.656854, with a P-value =
0.000000393525. The critical value of t is t
α
= 1.676551, corresponding to
a critical x = 152.371.
Press @GRAPH to see the results graphically as follows:
Example 3
– Data from two samples show thatx
1
= 158, x
1
= 160, s
1
=
10, s
2
= 4.5, n1 = 50, and n
2
= 55. For α = 0.05, and a “pooled”