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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” variance, test
the hypothesis H
0
: μ
1
−μ
2
= 0, against the alternative hypothesis, H
1
: μ
1
−μ
2
< 0.
Press ‚Ù—— @@@OK@@@ to access the hypothesis testing feature in the
calculator. Press —@@@OK@@@ to select option 6. T-Test: μ1−μ2.: Enter the
following data and press @@@OK@@@:
Select the alternative hypothesis μ1< μ2, and press @@@OK@@@. The result is