Consider the following data drawn independently from normally distributed populations: x1 = 25.7 x2 = 30.6 12

Question:

Consider the following data drawn independently from normally distributed populations:
x1 = 25.7
x2 = 30.6
σ12 = 98.2
σ22 = 87.4
n1 = 20
n2 = 25
a. Construct the 95% confidence interval for the difference between the population means.
b. Specify the competing hypotheses in order to determine whether or not the population means differ.
c. Using the confidence interval from part a, can you reject the null hypothesis? Explain