The college of engineering at U of A requires a minimum ACTscore of 26. The test
ID: 2918872 • Letter: T
Question
The college of engineering at U of A requires a minimum ACTscore of 26. The test score among high school seniors in agiven school district is normally distributed with a mean of 22 andstandard deviation 2. (a) Determine the percentage of high shcoolseniors who are potential engineering recruits. (b) If U of A does not accept any studentswith an ACT score less than 17, determine the percentage ofstudents who will not be eligible for admission at U ofA. The college of engineering at U of A requires a minimum ACTscore of 26. The test score among high school seniors in agiven school district is normally distributed with a mean of 22 andstandard deviation 2. (a) Determine the percentage of high shcoolseniors who are potential engineering recruits. (b) If U of A does not accept any studentswith an ACT score less than 17, determine the percentage ofstudents who will not be eligible for admission at U ofA.Explanation / Answer
Using the 68,95,99.7 rule the 26 is 2 sd above the mean so95/2=47.5+50=97.5 below them so the 2.5% are potentialengineering recruits using the calc its 2.3% (see how do it withcalc below)(b) IfU of A does not accept any students with an ACT score less than 17,determine the percentage of students who will not be eligiblefor admission at U of A.
If youhave a Ti 84 calculator type in is [2nd][DISTR] normalcdf(0,17,22,2) (0 is the min, 17 is the max, 22is the mean, 2 is the sd) so theanswer is .62%
(b) IfU of A does not accept any students with an ACT score less than 17,determine the percentage of students who will not be eligiblefor admission at U of A.
If youhave a Ti 84 calculator type in is [2nd][DISTR] normalcdf(0,17,22,2) (0 is the min, 17 is the max, 22is the mean, 2 is the sd) so theanswer is .62% [2nd][DISTR] normalcdf(0,17,22,2) (0 is the min, 17 is the max, 22is the mean, 2 is the sd) so theanswer is .62%