Provide an appropriate response.
-The area under the standard normal curve between 1 and 2 is equal to 0.1359. Scores on a particular aptitude test are normally distributed with a mean of 100 and a standard deviation of 10. Which of
The following are equal to 13.59%? a. The percentage of scores between 120 and 130
b. The percentage of scores between 110 and 120
c. The percentage of scores between 80 and 90
d. The percentage of scores between 90 and 120
e. The percentage of scores between 90 and 110
A)$b$
B) $a , b$
C) $b , c$
D) $\mathrm { e }$

Question

Provide an appropriate response.
-The area under the standard normal curve between 1 and 2 is equal to 0.1359. Scores on a particular aptitude test are normally distributed with a mean of 100 and a standard deviation of 10. Which of
The following are equal to 13.59%? a. The percentage of scores between 120 and 130
b. The percentage of scores between 110 and 120
c. The percentage of scores between 80 and 90
d. The percentage of scores between 90 and 120
e. The percentage of scores between 90 and 110  
A)$b$
B) $a , b$
C) $b , c$
D) $\mathrm { e }$

Quizplus · Accepted Answer

The area under the standard normal curve between 1 and 2 standard deviations from the mean (which corresponds to 0.1359 or 13.59%) can be translated to any normal distribution. For a distribution with a mean of 100 and a standard deviation of 10, 1 standard deviation above the mean is 110 and 2 standard deviations above is 120. Similarly, 1 standard deviation below the mean is 90 and 2 standard deviations below is 80. Therefore, the percentage of scores between 110 and 120 (b) and the percentage of scores between 80 and 90 (c) both represent areas that are 1 to 2 standard deviations from the mean, matching the 13.59% area under the standard normal curve.

Provide an Appropriate Response bbb B) a,ba , ba,b C) b,cb , cb,c

Provide an Appropriate Response $b$ B) $a , b$ C) $b , c$