
On the basis of two samples, each from a separate population, this test measures the strength of the
evidence for a selected hypothesis against the null hypothesis. The null hypothesis is that the means of the
two populations are equal, H
0
: μ
1
= μ
2
.
You can select one of the following alternative hypotheses to test against the null hypothesis:
●
H
0
: μ
1
< μ
2
●
H
0
: μ
1
> μ
2
●
H
0
: μ
1
≠ μ
2
Inputs
The inputs are as follows:
Field name Description
ẋ
1
Sample 1 mean
ẋ
2
Sample 2 mean
n
1
Sample 1 size
n
2
Sample 2 size
σ
1
Population 1 standard deviation
σ
2
Population 2 standard deviation
α Signicance level
Results
The results are as follows:
Result Description
Test Z Z-Test statistic
Test Δẋ Dierence in the means associated with the test Z-value
P Probability associated with the Z-Test statistic
Critical Z Boundary value(s) of Z associated with the α level that you supplied
Critical Δẋ Dierence in the means associated with the α level you supplied
One-Proportion Z-Test
Menu name
Z-Test: 1 π
On the basis of statistics from a single sample, this test measures the strength of the evidence for a selected
hypothesis against the null hypothesis. The null hypothesis is that the proportion of successes is an assumed
value, H
0
: π = π
0
.
You select one of the following alternative hypotheses against which to test the null hypothesis:
274 Chapter 13 Inference app
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