Consider the following data for two independent random samples taken from two normal populations.
Sample 1 14 26 20 16 14 18
Sample 2 18 16 8 12 16 14
a) Compute the two sample means and the two sample standard deviations.
b) What is the point estimate of the difference between the two population means?
c) Assuming α = .10, conduct p-value based and critical-value based hypothesis tests for the equality
of means of the two populations.
d) What is the 90% confidence interval estimate of the difference between the two population means?
How do the results compare in all the three approaches to hypothesis testing?