You may need to use the appropriate appendix table to answer this question. Use technology if a critical value cannot be found using the table. This exercise is a \"whateif' analysis designed to determine what happens to the test statistics and interval estimates when elements ofthe statistical inference change. This problem can be solved manually, or using an Excel spreadsheet. In random samples of 25 from each oftwo normal populations, we found the following statistics: a, = 523 31 = 127 E; = 464 .52 = 143 (a) Estimate the difference between the two population means with 95% condence. (Round your answers to two decimal places.) (b) Repeat part (a) increasing the standard deviations to 31 = 256 and 52 : 267. (Round your answers to two decimal places.) : E 0 (c) Describe what happens when the sample standard deviations get larger. LCL UCL LCL 1.When the sample standard deviations get larger the width ofthe confidence interval narrows. 2. When the sample standard deviations get larger the Width ofthe confidence interval stays the same. 3. When the sample standard deviations get larger the width ofthe confidence interval widens. to; Repeat part (a) With samples of size 'i 00. (Round your answers to two decimal places.) LCL UCL : 0