SOLUTION: Use the normal distribution of SAT critical reading scores for which the mean is 501 and the standard deviation is 113. Assume the variable x is normally distributed. a) What p

Question 1044807: Use the normal distribution of SAT critical reading scores for which the mean is 501 and the standard deviation is 113. Assume the variable x is normally distributed.
a) What percent of the SAT scores are less than 675? Round to two decimal places as needed.
b) You would expect that approximately how many SAT scores would be greater than 550? Round to the nearest whole number.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
=(675-501)/113
=1.54
want probability z < 1.54=0.9382 or 93.82%.
----------------
z=(550-501)/113=49/113=0.43
probability z > 0.43 is 0.334
I can't say how many SAT scores would be greater than 550, only the per cent, which is 33.36%, very close to one third, and 33% to the nearest whole number.
RELATED QUESTIONS
Use the normal distribution of SAT critical reading scores for which the mean is 512 and... (answered by rothauserc)

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

Use the normal distribution of SAT critical reading scores for which the mean is 515 and... (answered by Boreal)

5.2.17 Use the normal distribution of SAT critical reading scores for which the mean (answered by Boreal)

There are two major tests of readiness for college, the ACT and the SAT. ACT scores... (answered by Boreal)

Scores on the SAT form a normal distribution with a mean score of 500 and a standard... (answered by Theo)

Scores on the SAT form a normal distribution with an average of 500 and a standard... (answered by ewatrrr)

Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and... (answered by Theo)

Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and... (answered by Boreal)