MATH201 Lecture Notes - Lecture 12: Central Limit Theorem, University Of Rhode Island, Histogram
3 Aug 2016
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Document Summary
Consider the following situation: the admissions office of central rhode island. University claims that the average math sat of entering freshman is 620. To determine whether this claim is accurate we could form a sampling distribution. 100 samples of size n = 36 from the entering class of 3600 and determine each sample mean. Recall that the population = 3600 students. Now that we have calculated the mean for each sample, suppose we calculate the mean of all of these samples means: the mean of the sample mean is equivalent to the mean of the population. Properties of the sampling distribution of the mean. Let x be a random variable with a normal distribution whose mean is and standard deviation is . Suppose xbar is a sample mean corresponding to a random sample size of n taken from the x-distribution.
