10 A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her reator friend informs them that the last 17 houses that sold in their neighborhood took an average time of 245 days to sell. The tealtor also tells them that based on her prior experience, the population standard deviation is 40 days [You may find it useful to reference the tab 2. What assumption regarding the population is necessary for making an interval estimate for the population mean? O Assume that the population has a normal distribution Assume that the central limit them applies 06 b. Construct the 99% confidence interval for the mean sale time for all homes in the neighborhood (Round intermediate calculations to at least 4 decimal places. Round value to 3 decimal places and final answers to 2 decimal places) Confidence in