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A particular freshman student at a certain college has a standardized verbal SAT test score of z = -1.3 and a standardized math SAT test score of z = 2.0. Explain what these values tell you.

Another freshman has a standardized math SAT test score of 1.5. How does the student described in part a of this exploration compare to this student?

Suppose you also know that the mean math SAT test score for freshmen students at this college is 547 and the standard deviation is 74. What can you say about the math SAT test score of the student with a standardized
math SAT test score of 2.0?

Use the empirical rule to find an interval of values within which approximately 68 percent of the freshmen math SAT scores at this college fall.

Use the empirical rule to find an interval of values within which approximately 95 percent of the freshmen math SAT scores at this college fall.

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The solution discusses the values of the SAT score.

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A particular freshman student at a certain college has a standardized verbal SAT test score of z = -1.3 and a standardized math SAT test score of z = 2.0. Explain what these values tell you.

Solution:

SAT score of z = -1.3 is 1.3 standard deviations below the mean verbal SAT test score.
SAT score of z = 2.0 is 2 standard deviations above the mean verbal SAT test score.

Another freshman has a standardized math SAT test score of 1.5. How does the student described in part a of this exploration compare to this ...

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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