Problem 5. A sample of 21 items from population 1 has a sample variance s12 = 5.8 and a sample of 7 items from population 2 has a sample variance s22 = 2.4. Test the following hypotheses at the .05 level of significance.
H0: σ12 <= σ22
Ha: σ12 > σ22
a. What is your conclusion using the critical value approach?
Problem 6. Consider the following hypothesis test.
H0: σ12 = σ22
Ha: σ12 != σ22
a.What is your conclusion if n1 = 31, s12 = 8.2, n2= 6, and s22 = 4.0? Use α = .05 and the critical value approach.