ACTUAL QUESTION:If the distribution for the sophomore is normally distributed wi

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ACTUAL QUESTION:If the distribution for the sophomore is normally distributed with a mean=23.5 and standard deviation=4.11, find the percentage of sophomore whose ACT Math score will lie greater than 18? Does your answer from Question 4(b) equals to what you got? Why or why not.

BACKGROUND INFO Q(4B):What is the probability that you select a student and this student is a sophomore? What is the probability that this selected student which is a sophomore has an ACT Math Score of greater than 18?

1.probability that you select a student and this student is a sophomore= 0.295

2.probability that this selected student which is a sophomore has an ACT Math Score of greater than =0.847458

CLASS COLLEGE MAJOR RESIDENCY TYPE ENGLISH MATH Sophomore Bus Busadm Resident Transfer 12 15 Sophomore Educ ElEd Resident New 23 16 Sophomore Bus Mis Resident Transfer 18 17 Sophomore A&S Premed Resident Transfer 21 17 Sophomore Educ SpEd Resident New 20 17 Sophomore A&S Soc Resident New 22 18 Sophomore Educ SpEd Resident New 19 18 Sophomore A&S Psych Resident New 23 18 Sophomore Bus Busfin Resident Transfer 16 18 Sophomore Educ Socstd Resident New 16 19 Sophomore A&S Biolgy Resident New 19 19 Sophomore A&S McOm Nonresident New 28 19 Sophomore A&S Preden Resident New 22 19 Sophomore Nurs Nursng Nonresident New 24 20 Sophomore Bus Acct Resident Transfer 16 20 Sophomore Hss Kins Resident New 23 20 Sophomore Nurs Nursng Resident New 28 20 Sophomore A&S Art Resident New 22 20 Sophomore A&S Biolgy Resident New 21 21 Sophomore Bus Mis Resident New 26 21 Sophomore Bus Busfin Resident New 26 21 Sophomore A&S Undecl Resident New 19 21 Sophomore A&S Biolgy Nonresident New 18 21 Sophomore A&S Geolgy Resident New 21 21 Sophomore A&S McOm Resident New 19 21 Sophomore Educ ElEd Nonresident New 25 21 Sophomore A&S Undecl Resident New 24 22 Sophomore A&S McOm Nonresident New 22 22 Sophomore Educ Socstd Resident New 17 22 Sophomore A&S Undecl Resident New 17 23 Sophomore Educ Math Nonresident New 25 23 Sophomore A&S Prevet Resident Transfer 27 23 Sophomore A&S Undecl Nonresident New 27 23 Sophomore Bus Mktg Resident New 23 24 Sophomore Bus Mktg Resident New 22 24 Sophomore A&S Psych Resident New 24 24 Sophomore A&S Art Resident New 17 25 Sophomore Educ Phymat Resident Transfer 19 25 Sophomore A&S Biolgy Nonresident New 23 25 Sophomore Educ Socstd Resident New 27 25 Sophomore Hss Musthr Resident New 22 25 Sophomore A&S CS Resident New 22 26 Sophomore A&S Engl Resident New 32 26 Sophomore A&S Prepha Nonresident New 20 26 Sophomore Bus Busadm Resident Transfer 21 26 Sophomore Hss Kins Resident New 23 26 Sophomore Educ Soc Nonresident New 22 26 Sophomore Bus Busadm Nonresident New 23 26 Sophomore A&S Undecl Resident Transfer 22 26 Sophomore Educ Biolgy Resident New 22 27 Sophomore A&S Preopt Nonresident New 17 27 Sophomore Bus Acct Resident New 24 27 Sophomore Hss Socwrk Resident New 20 28 Sophomore A&S Crmjus Resident New 21 28 Sophomore A&S CS Resident New 21 29 Sophomore Educ Comdis Resident New 26 29 Sophomore Bus Acct Resident New 29 30 Sophomore Bus Mis Resident New 26 30 Sophomore A&S McOm Nonresident New 29 32

Explanation / Answer

= 23.5, = 4.11, x = 18

z = (x - )/ = (18 - 23.5)/4.11 = -1.3382

P(x > 18) = P(z > -1.3382) = 0.9096 (90.96%)

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