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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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%