Question

Suppose that the national average for the math portion of the College Board's SAT is 512. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places. If your answer is negative use “minus sign”.

(a) |
What percentage of students have an SAT math score greater than 612? |

% | |

(b) |
What percentage of students have an SAT math score greater than 712? |

% | |

(c) |
What percentage of students have an SAT math score between 412 and 512? |

% | |

(d) |
What is the z-score for student with an SAT math score of 620? |

(e) |
What is the z-score for a student with an SAT math score of 405? |

Answer #1

Suppose that the national average for the math portion of the
College Board's SAT is 515. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
615?
(b)...

Suppose that the national average for the math portion of the
College Board's SAT is 514. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores. If required, round
your answers to two decimal places. (a) What percentage of students
have an SAT math score greater than 589? % (b) What percentage of
students have an SAT...

Suppose that the national average for the math portion of the
College Board's SAT is 547. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores.
If required, round your answers to two decimal places.
(a)
What percentage of students have an SAT math score greater than
622?
%
(b)
What percentage of students have an SAT...

The national average for the math portion of the College
Board’s SAT is 521 with a standard deviation of 92. The median is
554.
1. What is the shape of the SAT math score distribution?
Why?
2. _____________Rule predicts that __________percent of
the SAT math score should lie between a 337 and 705, which are
+/-___________ standard deviation(s) away from the
mean.

The distribution of SAT scores in math for an incoming class of
business students has a mean of 610 and standard deviation of 20.
Assume that the scores are normally distributed.
Find the probability that an individual’s SAT score is less
than 600.
Find the probability that an individual’s SAT score is between
590 and 620.
Find the probability that an individual’s SAT score is greater
than 650.
What score will the top 5% of students have?

The national average for the math portion of the College Board’s
SAT is 513 with a standard deviation of 92. The median is 480. The
SAT math score data has a _____ distribution because the mean is
_______the median. Therefore, the ______ rule predicts that ____of
this data should lie between 237 and 789 because these points are
+/-______ standard deviation(s) away from the mean.

The national average for the math portion of the College Board’s
SAT is 513 with a standard deviation of 84. The median is 513.
The SAT math score data has a _____ distribution because the
mean is _______the median. Therefore, the ______ rule predicts that
____of this data should lie between 429 and 597 because these
points are +/-______ standard deviation(s) away from the mean.

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states
and D.C. and the percentage ( Pi ) of high school
seniors in each state that took the test that year. They found that
the correlation between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states and D.C.
and the percentage ( Pi )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower percentage...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( A i )in each of the 50 states
and D.C. and the percentage ( P i )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the the test scores were better on
average in states where fewer...

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