In 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with mean µ = 520 and standard deviation σ = 115.Calculate the z-score for an SAT score of 720.What math SAT score is 1.5 standard deviations above the mean?For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)

Given Let X be the SAT exam X~ N(mu=520, sigma^2=115^2) (3) let X be the Alexis exam and Y be the…

Answered: In 2005, 1,475,623 students heading to…

A First Course in Probability (10th Edition)

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In 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with mean µ = 520 and standard deviation σ = 115.

Calculate the z-score for an SAT score of 720.
What math SAT score is 1.5 standard deviations above the mean?
For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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