How do you draw that conclusion? (nowhere do I say that Sept8 is between Sept17 and Sept24).

Ok, let me spell it out for you.

2003-09-17 beginning of week 37
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Week 37 starts on September 17.

2003-09-24 end of week 37
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And week 37 ends on September 24 (making it an 8 day week...)

2003-09-08 now (week 37)
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8 September is in week 37. To be in a week, you must be on or after the start of the week, and on or before the end of the week. Conclusion, 8 September has to be between 17 and 24 September.

Abigail