ACT and SAT scores are both known to be normally distributed. In 2010, the mean

Question

ACT and SAT scores are both known to be normally distributed. In 2010, the mean and standard deviation for the ACT were mu=21 and sigma = 7, respectively. The mean and standard deviation for the SAT were mu=1510 and sigma=310, respectively. What ACT score would place a student in the same percentile as a student who scored 1870 on the SAT in 2014? Round your answer to the nearest integer. 29 What SAT score would place a student in the sample percentile as a student who scored 10 on the ACT in 2014? Round your answer to the nearest integer. 1023 Suppose Bertrand scored 24 on the ACT in 2014. Which of the following statements below are correct ways of describing his score? Select all that apply. The probability that one randomly selected student who took the ACT In 2014 scored higher than Bertrand is about 0.33. About 67% of all students who took the ACT in 2014 scored lower than Bertrand. Bertrand's score was about 3.01 standard deviations away from the mean score for everyone who took the ACT in 2014. Bertrand's score was about 0.67 standard deviations away from the mean score for everyone who took the ACT in 2014. About 67% of all students who took the ACT in 2014 scored higher than Bertrand. The probability that one randomly selected student who took the ACT in 2014 scored higher than Bertrand is about 0.67. Bertrand's score was about 0.43 standard deviations away from the mean score for everyone who took the ACT in 2014.

Explanation / Answer

Bertrand’s score was about 3.01 standard deviations away from the mean score for everyone who took the ACT in 2014.
Bertrand’s score was about 0.67 standard deviations away from the mean score for everyone who took the ACT in 2014.
About 67% & all sti4ents who took the ACT in 2014 scored higher than Bertrand.
The probability that one randomly selected student who took the ACT In 2014 scored higher than Bertrand es about 0.67.

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