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Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 400.
A
16%
B
68%
C
84%
D
32%
Explanation: 

Detailed explanation-1: -The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming SAT scores follow a bell-shaped distribution; use the empirical rule to find the percent of students who scored more than 600.

Detailed explanation-2: -For data with a roughly bell-shaped (mound-shaped) distribution, About 68% of the data is within 1 standard deviation of the mean. About 95% of the data is within 2 standard deviations of the mean.

Detailed explanation-3: -The probability that a randomly selected individual from this population will have an SAT score at or below 600 is 100% – 16% = 84%, which is the left-tailed p value, .

Detailed explanation-4: -The empirical rule (also called the “68-95-99.7 rule") is a guideline for how data is distributed in a normal distribution. The rule states that (approximately):-68% of the data points will fall within one standard deviation of the mean.-95% of the data points will fall within two standard deviations of the mean.

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