7
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Does that mean if I draw samples from the population that 90% of the time I'll get a number between 1 and 9?

Added: assume normal distribution for the population.

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    When most people say "I'm 90% confident that..." I don't believe the number has any content. It means "I'm pretty sure that...". I would have gotten rich betting against these at 9 to 1 odds over my lifetime.2012-09-07
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    It means that the statistician has used a calculational procedure that has the following property. If the procedure is carried out many many times, about $90\%$ of the time the statistician will turn out to be right about the interval she announces, and $10\%$ of the time she will turn out to be wrong.2012-09-07
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    @AndréNicolas You have given the frequentist definition of confidence interval which is probably what the OP is driving at. But if he is serious about fixing the end point at 1 and 9 then i think the only statistical interpretation comes from the Bayesian framework work where the mean is a paramneter that is given a prior distribution and the staement is actually about a credible region for the mean based on the posterior distirbution. Because there you can calculate the proability content for the interval [1,9].2012-09-08
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    Also posted at http://mathoverflow.net/questions/106629/what-does-it-mean-when-a-statistician-says-im-90-confident-that-the-mean-of-the2012-09-08

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