Hypothesis tests, One-sample z-test – HP 39gs User Manual

Page 132

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11-8

Inference aplet

Hypothesis tests

You use hypothesis tests to test the validity of hypotheses
that relate to the statistical parameters of one or two
populations. The tests are based on statistics of samples
of the populations.

The HP 39gs hypothesis tests use the Normal
Z-distribution or Student’s t-distribution to calculate
probabilities.

One-Sample Z-Test

Menu name

Z-Test: 1 μ

On the basis of statistics from a single sample, the
One-Sample Z-Test measures the strength of the evidence
for a selected hypothesis against the null hypothesis. The
null hypothesis is that the population mean equals a
specified value Η

0

: μ = μ

0

.

You select one of the following alternative hypotheses
against which to test the null hypothesis:

Inputs

The inputs are:

H

1

:μ

1

μ

2

<

H

1

:μ

1

μ

2

>

H

1

:μ

1

μ

2

Field name

Definition

Sample mean.

n

Sample size.

μ

0

Hypothetical population mean.

σ

Population standard deviation.

α

Significance level.

x

HP 39gs English.book Page 8 Wednesday, December 7, 2005 11:24 PM

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