College

The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with mean [tex]\mu = 1497[/tex] and standard deviation [tex]\sigma = 322[/tex].

A certain test-retake preparation course is designed for students whose SAT scores are in the lower 25% of those who take the test in a given year.

What is the maximum SAT score in 2014 that meets the course requirements?

Answer :

The maximum SAT score in 2014 that meets the course requirements based on the above is 1280.

How to compute the SAT Score

We have the mean u = 1497

Standard deviation sd = 322

We find the x distribution using 25%

P(Z

Z = -0.675

From here we use the formula for z score

X = z(sd) + u

X = -0.675*322 + 1497

X = -217.35 + 1497

X = 1279.6

This is approximately 1280

Hence we can conclude that the maximum sat scores in year 2014that meets with the requirements of this course is 1280.

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Answer:

1279

Explanation:

We have the mean u = 1497

Standard deviation sd = 322

We find the x distribution using 25%

P(Z

Z = -0.675

From here we use the formula for z score

X = z(sd) + u

X = -0.675*322 + 1497

X = -217.35 + 1497

X = 1279.6

Which is approximately 1279

So we conclude that the maximum sat scores in year 2014that meets with the requirements of this course is 1279

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