. Question 23 v E Of This problem will investigate what exactly we mean by "Level of Confidence". a. Suppose you take 104 random samples and build 104 50% Cl's for o. How many of these Cl's would you expect to successfully "capture" the true value of '1;? Round to one decimal if needed. Now we will test this concept. The following data is a sample of 10 values from a normally distributed population for which p. = 48 and 0' = 5. 48.8 42.7 46.4 54.8 48.3 48.3 40.6 43.6 47.8 44.9 Build a 5096 Z-interval for mu based on the sample data, using the known value of 0'. You can use the "Z-interval" command on your calculator to make it easy. Then round to one decimal. b. Enter your CI in this format: {min,max): c. Does your CI contain the true value of ,u. which is ,u. = 48? Yes "'33- No Here is a new set of random values, from the same population distribution. 51.9 44.4 40.5 45.8 47.5 50.4 51 50.7 52.8 50.2 d. Build a new 50% Cl: e. Does your new Cl contain the true value of ,u? -"::::- No '55} Yes We would expect that one of the Cl's above would contain [.1 and one woud not, but due to random chance it's possible that both did or neither did. Of course, usually you would not use a 50% Cl, since the whole point is to try and successfully "capture" p