Question

Not ACT and SAT scores are both known to be normally distributed. In 2010, the mean and standard deviation for the ACT were ye21 and o-7, respectively. The mean and standard devlation for the SAT were #1510 and ơ-310, respectively a. what ACT score would place a student in the same percentile as a student who scored 1970 on the SAT in 20107 (In other words, what ACT score is 'equivalent to an SAT score of 19707) Round your answer to the nearest integer. b. What SAT score would place a student in the sample percentile as a student who scored 13 on the ACT in 20107 (In other words, what SAT score is "equivalent" to an ACT score of 137) Round your answer to the nearest integer c Suppose Bertrand scored 32 on the ACT in 2010. which of the following statement s below are corract ways of describing bis score? Select all that apply eertrand's score was about 10.99 tanidard devlations away from the mean score for everyone who took the ACT in 2010 About 94% of all students who took the ACT in 2010 scored lower than B-era " Bertrand's score was about 1.57 standard deviations away from the mean score for evervone who Bertrand's score was about О.94 standard deviations away from the mean score for everyone who took the ACT in 2010 About 94% of all students who took the ACT in 2010 scored higher than Bertrand. The probability that ons randomly selected student whs took the ACT in 2010 scored higher than Bertrand is about The probability that one randomly selected student who took the ACT in 201o scored higher than Dertrand is about 0.94

Answer 1