Final answer:
The formula for calculating the confidence interval for the difference between two means for large samples is (X1 - X2) ± (Z * √((S1^2 / n1) + (S2^2 / n2)))
Step-by-step explanation:
The formula for calculating the confidence interval for the difference between two means for large samples is:
CI = (X1 - X2) ± (Z * √((S1^2 / n1) + (S2^2 / n2)))
Where:
- CI is the confidence interval
- X1 and X2 are the means of the two samples
- Z is the z-score corresponding to the desired confidence level
- S1 and S2 are the standard deviations of the two samples
- n1 and n2 are the sizes of the two samples