Test for randomness?

Hi,

Let's say I have 4,000,000 SAT scores... assume a reasonable
expectation, as with most tests, that the population follows 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

.

Relevant Pages

  • A test for randomness?
    ... expectation, as with most tests, that the scores fit a normal ... distribution (bell curve). ... unsure of whether or not you had a random sampling of the scores. ... you plot the scores on a normal probability plot and find that ...
    (sci.stat.math)
  • Re: Test for randomness?
    ... unsure of whether or not you had a random sampling of the scores. ... you plot the scores on a normal probability plot and find ... that most of the data points fit the line. ... assuming that you have a random sample? ...
    (sci.stat.consult)