HP 50g Graphing Calculator User Manual

Page 612

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background image

Page 18-45

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:

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