You may need to use the appropriate appendix table to answer this question. This exercise is based on the optional subsection "Estimating the Population Mean Using the Sample Median." Assume that the population is normal. (a) Given the following information, determine the 90% confidence interval estimate of the population mean using the sample median. (Round your answers to two decimal places.) Sample median = 700, o = 18, and n = 30 LCL = UCL (b) Using a sample mean of 700, the 90% confidence interval is 700 # 5.41. Compare your answer in part (a) to the confidence interval computed with the sample mean. Why is the confidence interval estimate based on the sample median wider than that based on the sample mean? 1. The variance of the sample mean is larger than the variance of the sample median. 2. The variance of the sample median is larger than the variance of the sample mean. 3. The sample median is a biased estimator of the population mean resulting in a smaller variance. 4. The sample median is a biased estimator of the population mean resulting in a larger variance