What should you conclude if two randomly selected sample means produce a confidence interval that is ?

Question

What should you conclude if two randomly selected sample means produce a confidence interval that is  ?

Quizplus · Accepted Answer

A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. In this case, the confidence interval is given as [1.51, 2.62] with a 95% confidence level. This means that if we took many random samples and computed their confidence intervals, 95% of those intervals would contain the true population parameter. Since the confidence interval is for the difference between two sample means, we can conclude that we are 95% confident that the true difference between the means of the two populations from which the samples were drawn lies between 1.51 and 2.62.

What Should You Conclude If Two Randomly Selected Sample Means α\alphaα

What Should You Conclude If Two Randomly Selected Sample Means $\alpha$