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 99% confidence interval for μ1-μ2 using the sample results x¯1=75.9, s1=9.3, n1=25 and x¯2=65.8, s2=7.6, n2=20
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) Point estimate = 10.1

b) Margin of error = (16.8904 - 3.3096)/2 = 6.7904

c) Confidence interval:

3.3096 to 16.8904