A researcher is trying to compare consumer satisfaction performance between Target and Walmart. The sample size for target is 25, with a sample mean of 79 and population standard deviation of 12. Walmart on the other hand has a sample size of 30, sample mean of 71 and population standard deviation of 12.
a) Find a 95% confidence interval for the difference in population means for Walmart’s consumer satisfaction and Target’s consumer satisfaction.
b) By carrying out a hypothesis testing, explain if there is any difference between the average score of consumer satisfaction between Walmart and Target? (at α=0.05)
c) Using p-value approach, show that you would get to the same statistical conclusion to (b)