Someone can help me to solve this exercise. Please shot step by step. including formulas(equation) that are use to solve the problem.
Independent random samples are selected from two normal populations. Information for the 2 samples are in the table below:
Population 1 Population 2
N 14 11
X 7.1 8.4
S 2.3 2.9
If you wanted to test the means are, in other words you are testing the following hypotheses:
H0 : µ2 1 -µ2 2 = 0
H1 : µ2 1 -µ2 2 ?= 0
a. Setting α = 0.05, do you have enough statistical evidence to reject the null hypothesis? Why or why not?
b. Now you want to test whether the population variances are equal. Setting α = 0.05, do you have enough statistical evidence to reject that the population variances are equal?