How Do You Solve A Central Limit Theorem Word Problem In Statistics?
Central Limit Theorem word problems contain one of three phrases: “greater than/above”, “less than/lower” or “in between”. In between word problems where the two values are either side of the mean are covered here; check out the resources for other CLT problem types. Gather your data. The word problem should have identified a mean (average or μ), a standard deviation (σ), the population size, the sample size (n), and two numbers associated with “in between” (e.g. find the probability that the mean will be in between 9 and 15). We’ll call those two in-between numbers XBar 1 and XBar 2. Divide the standard deviation by the square root of your sample. For example, if sixteen cars are in your sample and your standard deviation is 1, then 1/√16=0.25 Subtract the mean from Xbar 1 (i.e. Xbar 1 – μ) Divide the result from step 3 by the result from step 2 (i.e. step 3/step 2). This gives you the z-value for XBar 1. Look up the value from step 4 in the z-table to find the z-score for XBar 1. Set
