The mean of a distribution of means of samples of a given size from a particular population
It is the same as the mean of the population of individuals.
Population M M = Population M
Population M M is the mean of the distribution of means.
Because the selection process is random and because we are taking a very large number of samples, eventually the high means and the low means perfectly balance each other out.
23.
Hypothesis Testing with a Distribution of Means: The Z Test
Z Test
Hypothesis-testing procedure in which there is a single sample and the population variance is known
The comparison distribution for the Z test is a distribution of means.
The distribution of means is the distribution to which you compare your sample’s mean to see how likely it is that you could have selected a sample with a mean that extreme if the null hypothesis were true.
24.
Figuring the Z Score of a Sample’s Mean on the Distribution of Means
If you had a sample with a mean of 25, a distribution of means with a mean of 15, and a standard deviation of 5, the Z score of the sample’s mean would be 2.
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