SOLUTION: 1. The mean SAT verbal score is 412, with a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 412 and 592. (Assume the data set h

Question 930669: 1. The mean SAT verbal score is 412, with a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 412 and 592. (Assume the data set has a bell-shaped distribution.)

a-34%

b-81.5%

c-47.5%

d-68%

e-None of the above

f-49.9%

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right

...
one standard deviation from the mean accounts for about 68% of the set
two standard deviations from the mean account for about 95%
and three standard deviations from the mean account for about 99.7%.
...
mean = 412, with a standard deviation of 90.
P(412 < x < 592) = (.95/2) = .475 0r 47.5%
RELATED QUESTIONS
1. The mean SAT verbal score is 412, with a standard deviation of 90. Use the Empirical... (answered by stanbon)

SAT verbal scores are normally distributed with a mean 433 and a standard deviation of... (answered by stanbon)

The national average for the verbal portion of the College Board's SAT is 507. The... (answered by stanbon)

In 2005, the mean score on the verbal portion of the SAT for college-bound seniors was... (answered by rothauserc)

The national average for math portion of the college board's SAT is 521 with a standard... (answered by jim_thompson5910)

Use the normal distribution of SAT critical reading scores for which the mean is 509 and... (answered by Boreal)

Could someone please help with this?: The SAT math scores for all seniors in a high... (answered by ewatrrr)

What is the distribution of the weights of a sample of 1,300 cargo containers is... (answered by Solver92311)

According to the Empirical rule, what percent of the data should be between 174 and 846... (answered by Boreal)