Final answer:
The 95% confidence interval for the difference between the means of two populations, with a point estimate of 8 and a margin of error of 5.88, is calculated to be (2.12, 13.88). option D is correct answer.
Step-by-step explanation:
The confidence interval for the difference between the means of two populations can be determined using the formula (point estimate − margin of error, point estimate + margin of error). Given a point estimate of 8 and a margin of error of 5.88, we can calculate this confidence interval.
To find the confidence interval, you take the point estimate and subtract the margin of error for the lower limit, and add the margin of error for the upper limit. So for the lower limit, you calculate 8 - 5.88, which equals 2.12. For the upper limit, you calculate 8 + 5.88, which equals 13.88. Therefore, the 95% confidence interval for the difference between the means of the two populations is (2.12, 13.88).
In this context, the confidence interval suggests with 95% confidence that the true difference between the population means lies between 2.12 and 13.88.