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1. Z-Test: 1 μ.: Single sample hypothesis testing for the population mean, μ,
with known population variance, or for large samples with unknown
population variance.
2. Z-Test: μ1−μ2.: Hypothesis testing for the difference of the population
means, μ
1
- μ
2
, with either known population variances, or for large
samples with unknown population variances.
3. Z-Test: 1 p.: Single sample hypothesis testing for the proportion, p, for
large samples with unknown population variance.
4. Z-Test: p1− p2.: Hypothesis testing for the difference of two proportions, p
1
-
p
2
, for large samples with unknown population variances.
5. T-Test: 1 μ.: Single sample hypothesis testing for the population mean, μ,
for small samples with unknown population variance.
6. T-Test: μ1−μ2.: Hypothesis testing for the difference of the population
means, μ
1
- μ
2
, for small samples with unknown population variances.
Try the following exercises:
Example 1
– For μ
0
= 150, σ = 10, ⎯x = 158, n = 50, for α = 0.05, test the
hypothesis H
0
: μ = μ
0
, against the alternative hypothesis, H
1
: μ≠μ
0
.
Press ‚Ù—— @@@OK@@@ to access the hypothesis testing feature in the
calculator. Press @@@OK@@@ to select option 1. Z-Test: 1 μ.
Enter the following data and press @@@OK@@@:
You are then asked to select the alternative hypothesis. Select μ≠150, and
press @@OK@@. The result is: