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Does the empirical rule work for any data set?
No.The empirical rule is a good estimate of the spread of the data given the mean and standard deviation of a data set that follows the normal distribution.If you you have a data set with 10 values, perhaps all 10 the same, you clearly cannot use the empirical rule.
If the coefficient of determination for the data set is 0.75 and the SSE for the data set is 13 what is the SST for the data set?
It is 52.
What is the mean of the sampling distribution of the sample mean?
Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample. Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution." When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.
What is the difference between standard normal distribution table and the t distribution table?
standard normal is for a lot of data, a t distribution is more appropriate for smaller samples, extrapolating to a larger set.
What does the measure of central tendency describe in a data set?
It describes the "middle" of the data set.It describes the "middle" of the data set.It describes the "middle" of the data set.It describes the "middle" of the data set.
