Final answer:
Without knowing the average increase in scores from the first to the second SAT attempts, we cannot determine the average score of the first attempt.
Step-by-step explanation:
The student's question pertains to a scenario wherein an SRS of 450 high school seniors took the SAT Mathematics exam twice. The average score on their second attempt is given as 44 points. The student asks what the average score was on their first attempt. To get the average first attempt score, we need to know how much the scores had increased on average from the first attempt to the second. However, this information is not provided in the question.
Nor can we assume that all students improved by the same amount (for instance, the same 44 points). SAT score changes have a Normal distribution, meaning some student's scores could have had less or more improvement than others. This could be due to various factors like their preparation, stress levels, test-taking skills, understanding of the test format, etc. Therefore, without specific data about the overall average SAT score change from first attempt to the second, we can't accurately calculate the average first attempt score.
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