1. [-/1 Points) DETAILS MENDSTAT15 8.4.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. 81 Population 1 2 Sample Size 81 Sample Mean 5.7 Sample Variance 12.83 Construct a 90% confidence interval for estimating the difference in the population means (42 - Hz). (Round your answers to two decimal places.) 3.8 9.88 to Construct a 99% confidence interval for estimating the difference in the population means. (Round your answers to two decimal places.) to What does the phrase "90% confident" or "99% confident" mean? There is a 90% (or 99% as the case may be) chance that for any two samples, one sample from population 1 and one sample from population 2, the difference between sample means will fall within the interval. Hence, we are fairly certain that this particular interval contains - My There is a 90% (or 99% as the case may be) probability that the interval will enclose - . Hence, we are fairly certain that this particular interval contains #1 - M2 90% (or 99% as the case may be) of all values from populations 1 and 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains #1 - 2 In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose #- 2 Hence, we are fairly certain that this particular interval contains My - Hy In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose , - M2 Hence, we are fairly certain that this particular interval contains M, - Hz You may need to use the appropriate appendix table or technology to answer this question. Need Help? ReadIt