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 40gs 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
â‰
Field name Definition
Sample mean.
n Sample size.
μ
0
Hypothetical population mean.
σ Population standard deviation.
α Significance level.
x
hp40g+.book Page 8 Friday, December 9, 2005 12:27 AM
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