Tutorial 2: Statistics

Question 1

There exist three possible alternative hypotheses H1 :

Answer 1

Hypothesis H0 | H1

Two-sided μX =μ0 | μX ≠μ0

One-sided μX ≤μ0 | μX >μ0

One-sided μX ≥μ0 | μX <μ0

Question 2

When do I use which test?

Answer 2

1. 1 Sample
   
   • σ_X known –> Gauss test
   • σ_X unknown –> t-test
2. 2 Samples
   
   • independet –> Welch Test
   • dependent –> Paired t-Test

Question 3

When to reject H₀

Answer 3

Question 4

Test manual:

Answer 4

1. Look at test:
   
   1. 1 sample or 2 samples (dependent or independent)
   2. σ_X known or unknown
2. State H0 and H1 (given)
3. Select and calculate the test statistic
4. Select α (given)
5. Find the critical value in the table
6. Result (Accept or reject H₀)