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For the 1975 SAT data ̄x= 955.3 ands= 69.5 and for the 1990 SAT data ̄x=...

For the 1975 SAT data ̄x= 955.3 ands= 69.5 and for the 1990 SAT data ̄x= 947.5ands= 64. The 1975 Texas average SAT score was 1047 and the 1990 average was 1019. What can be said about the relative merits of 1975 and 1990 scores for Texas

Math   Statistics-And-Probability   
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Answer #1

For 1975, the z score for the mean score is computed here as:

Therefore the 1975 Texas mean SAT score is 1.32 standard deviaitions more than the national average during the same time.

For 1990, the z score for the mean score is computed here as:

Therefore the 1990 Texas mean SAT score is only 1.12 standard deviaitions more than the national average during the same time.

Therefore apparently Texas has performed better in the past that is 1975 SAT exams than in the 1990 exams. (compared to the rest of the nation )

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