Question

Assume that you have a sample of n1=9​, with the sample mean X1=45​, and a sample standard deviation of S1=6​, and you have an independent sample of n2=16 from another population with a sample mean of X2=37​, and the sample standard deviation S2=5. Construct a 99​% confidence interval estimate of the population mean difference between μ1 and μ2. Assume that the two population variances are equal.

( ) ≤ μ1 −μ2 ≤ ( )

​(Round to two decimal places as​ needed.)

Answer 1

From the given information,

Using confidence interval calculator for difference between means,

Hence, Required 99% confidence interval is,

1.72 ≤ μ1 −μ2 ≤ 14.28

Thank you.