Question

Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the relevant sample results. Give the best estimate for μ1-μ2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.
A 95% confidence interval for μ1-μ2 using the sample results x¯1=5.1, s1=2.4, n1=11 and x¯2=4.5, s2=2.5, n2=8
Best estimate = ?

Margin of error = ?

Confidence interval: ____ to _____

Answer 1

The statistical software output for this problem is:

On the basis of above output:

a) Best estimate = 0.6

b) Margin of error = (3.0368 + 1.8368)/2 = 2.4368

c) Confidence interval:

-1.8368 to 3.0368