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1.76 Test scores. Many states have programs for assessing the skills of stu- den

ID: 3052785 • Letter: 1

Question

1.76 Test scores. Many states have programs for assessing the skills of stu- dents in various grades. The Indiana Statewide Testing for Educational Progress (ISTEP) is one such program.2 In a recent year 76,531, tenth-grade Indiana students took the English/language arts exam. The mean score was 572, and the standard deviation was 51. Assuming that these scores are approximately Normally distributed, N(572, 51), use the 68-95-99.7 rule to give a range o scores that includes 95% of these students.

Explanation / Answer

as we know from empriical rule ; 95% of values fall with in 2 std deviaiton of mean

therefore range of scores that include 95% of these students =mean -/+ 2*std deviation

=572 -/+ 2*51 = 470 to 674

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