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.

Solution Preview

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 Summary

The solution discusses the values of the SAT score.

... Why? (b) Construct a 95% confidence interval estimate of the mean SAT score. ... (b) Construct a 95% confidence interval estimate of the mean SAT score. ...

... a. What is the mean and standard deviation for this groups' SAT verbal score? ... c. In the past, students have had an average SAT verbal score of 542. ...

... develop a point estimate of the standard deviation 2) What is the probablity that a random sample of 75 students will provide a sample mean SAT score within 10 ...

... the students' average score of 385 points significant at the 5% and 1% levels to support Tutor O-Rama's claim of at least a 50-point increase in the SAT score? ...

... From this z score sitting distance at 5th percentile is calculated. ... The z score is same as 5th percentile sitting distance, but it is positive. ...

... Bob compares his SAT Verbal score of 400 to Marge's ACT Verbal score of 20. ... We need to convert SAT score to ACT score first and then compare the higher score. ...