This problem will investigate what exactly we mean by Level of Confidence. a. Suppose you take 102 random samples and bu

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This Problem Will Investigate What Exactly We Mean By Level Of Confidence A Suppose You Take 102 Random Samples And Bu 1 (39.88 KiB) Viewed 32 times

This problem will investigate what exactly we mean by Level of Confidence. a. Suppose you take 102 random samples and build 102 50% CI's for u. How many of these CI's would you expect to successfully "capture" the true value of μ? 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 = 50 and σ = 4. 48.2 44.4 49.1 48.5 50.9 52.9 53.2 47.6 49 54.3 Build a 50% Z-interval for mu based on the sample data, using the known value of a. You can use the "Z-interval" command on your calculator to make it easy. Then round to one decimal. b. Enter your Cl in this format: (min,max): c. Does your Cl contain the true value of μ, which is = 50? Yes O No Here is a new set of random values, from the same population distribution. 50.2 48.7 51.7 49.2 51.8 57 47.6 51.9 51 53.9 d. Build a new 50% CI: e. Does your new Cl contain the true value of ? Yes No We would expect that one of the CI's above would contain 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% CI, since the whole point is to try and successfully "capture".