Question

1.The distribution of 2015 SAT scores in mathematics are normally distributed with a mean score of 514 points and a standard deviation of 118 points. What score does a student need in order to score in the top 1% of all SAT scores?

ANSWER QUESTIONS A-G FOR QUESTION ABOVE(DRAW LABEL NORMAL CURVE)

(A) label the x-axis with a complete description in the context of the setting on Normal curve.

(B) label the value of the mean

(C) label the value of the standard deviation in relation to the inflection points of the curve

(D) give the value of the requested probability, and show the shaded region

(E) show the location of x- value(s) on x-axis.

(F) Indicate the distance, z.

(G) Give your answer in a sentence

Answer 1

Let the student needs a score of at least x points  to be in the top 1% of all sat scores.

The probability that any sat score will be greater than x will be = 0.01

So

The z-score corresponding to a p-value of 0.01 is 2.33.

So

Hence, if a student scores 788.94 or more then he will be in the top 1% of all SAT scores.

The corresponding graph is

Answer - If a student scores 788.94 or above then his score will be in the top 1% of 2015 SAT scores.

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