1. Inferences on Two Samples Summary
Chapter 11
Inferences
on Two Samples
Summary

2. Chapter 11 Summary
The process of hypothesis testing is very similar across the testing of different parameters
The major steps in hypothesis testing are
Formulate the appropriate null and alternative hypotheses
Calculate the test statistic
Determine the appropriate critical value or values
Reach the reject / do not reject conclusions

3. Mean (Std Dev known) (Chapter 10)
Chapter 11 Summary
Similarities in hypothesis test processes
Parameter
Mean (Std Dev known) (Chapter 10)
Two Means
(Independent)
(Dependent)
Two Proportions
H0:
μ = μ0
μ1 = μ2
p1 = p2
(2-tailed) H1:
μ ≠ μ0
μ1 ≠ μ2
p1 ≠ p2
(L-tailed) H1:
μ < μ0
μ1 < μ2
p1 < p2
(R-tailed) H1:
μ > μ0
μ1 > μ2
p1 > p2
Test statistic
Difference
Critical value
Normal
Student t

4. Chapter 11 Summary
We can test whether sample data from two different samples supports a hypothesis claim about a population mean or proportion
For two population means, there are two cases
Dependent (or matched-pair) samples
Independent samples
All of these tests follow very similar processes, differing only in their test statistics and the distributions for their critical values