Assume you are a researcher for a small university.You have surveyed all 1500 students at the university on the following question,"Within the last 30 days,what percent of students at your school used alcohol? State your best estimate." How would a sampling distribution of the mean with N = 15,be created for the data from this question?
A)The population scores would be "standardized," or converted to z-scores,and the distribution of 15 randomly selected standard scores would be our sampling distribution.
B)Random samples of 15 would be taken from the population,the mean would be calculated in each sample,and the distribution of those means would be our sampling distribution.
C)A sample would be taken from the population,the mean and standard deviation would be calculated in that sample,and the distribution of raw scores for 15 participants would be our sampling distribution.

Question

Quizplus · Accepted Answer

To create a sampling distribution of the mean with N = 15, we would need to take random samples of 15 from the population and calculate the mean for each sample. The distribution of those means would be our sampling distribution. This method is known as the central limit theorem, and it allows us to estimate the population mean with greater accuracy. Option A would not create a sampling distribution of the mean, but rather a sampling distribution of the z-scores. Option C would only give us a distribution of raw scores for 15 participants, which is not enough information to create a sampling distribution of the mean.

Assume You Are a Researcher for a Small University