STAT 1000 Lecture Notes - Lecture 27: Bias Of An Estimator, Simple Random Sample, Variance
4 Dec 2017
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To calculate such probabilities, we must examine the distribution of the sample mean. To answer this we take a random sample of size n from a normal distribution with mean . Keep doing this and after you have a sufficiently large number of sample means, plot their values. The label on a can of pepsi says the can contains 355 ml. suppose that in fact, the fill volume of cans of pepsi follows a normal distribution with mean 355 ml and standard deviation 2 ml. Suppose we take a very large number of samples of 100 cans of pepsi and for each sample we calculate the value of x . We then create a histogram of the values of x . The distribution of the sample mean . The mean of the distribution of x of x, . Is the same as the mean of the population distribution. 0. 2 population with mean distribution of .
