A test for randomness?



Hi,

Let's say I have 4,000,000 SAT scores... assume a reasonable
expectation, as with most tests, that the scores fit a normal
distribution (bell curve).

Now let's say someone gave you only 14 of those scores. You were
unsure of whether or not you had a random sampling of the scores.
However, you plot the scores on a normal probability plot and find that
most of the data points fit the line. Would you be safe in assuming
that you have a random sample? Should you feel comfortable using those
14 scores to draw statistical inferences about the entire population of
SAT scores?

Regards,
Stu

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