For this discussion post, we are going to construct a confidence interval based on a collection of sample data. Read the following: We are interested in the average wait estimated time of our local ER at 7 PM on Friday nights. So, we sample 18 estimated wait times (in minutes) at 7 PM on Friday nights over the last 2 years and found the following: 3, 8, 25, 47, 61, 25, 10, 32, 31, 20, 10, 15, 7, 62, 48, 51, 17, 30 Using these ER wait times, construct a 90% confidence interval for the mean ER wait times for Friday nights at 7 PM Discussion Prompts Answer the following questions in your initial post: What is the sample mean and sample standard deviation of this data set? Should we be using the Z or T distribution? Explain why Find the Critical Z or T value for this problem. Compute the Margin of Error, E Write out the confidence interval The ER claims its average wait time on Friday nights will be less than 35 minutes. Based on our confidence interval, does this seem like a valid claim