SOLUTION: 15. A set of final examination grades in a home economics course is normally distributed, with a mean of 73 and standard deviation of 6.
a. What is the probability that a student
Algebra.Com
Question 468313: 15. A set of final examination grades in a home economics course is normally distributed, with a mean of 73 and standard deviation of 6.
a. What is the probability that a student scored below 91 on exam?
b. What is the probability that a student scored between 60-80 on the exam?
c. The probability is 5% that a student taking the test scores higher than what grade?
d. If the professor grades on a curve by giving the top 10% A’s regardless of scores, are you better off with a grade of 80 on this exam or 64 on another exam, where the mean is 60 and the standard deviation is 3? Show your answer statistically.
Please Help!
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a) z=(91-73)/6=18/6=3
.9987 the probability that a student scored below 91 on exam.
.
b) z=(60-73)/6=-13/6=-2.1667
z=(80-73)/6=13/6=2.1667
.9697 the probability that a student scored between 60-80 on the exam.
.
c) 1.6949=(x-73)/6
x-73=10.1694
x=83.2
.
d) z=(64-60)/3=4/3=1.3333
z=(80-73)/6=13/6=2.1667
.
Ed
RELATED QUESTIONS
A set of mid term examination grades in an undergraduate introductory statistics course... (answered by stanbon)
A set of final examination grades in an introductory statistics course was founded to be... (answered by stanbon)
3. A set of final exam scores in an introductory statistics course is normally... (answered by ewatrrr)
A set of final exam scores in an organic chemistry course was found to be normally... (answered by ewatrrr)
A man reports the final scores in his statistics course are normally distributed with a... (answered by ewatrrr)
The time required to complete a final examination in a particular college course is... (answered by ewatrrr)
Students grades were normally distributed with a mean of 73 and a standard deviation of... (answered by stanbon)
The time needed to complete the final examination of MGSC 301 is normally distributed... (answered by stanbon)
The grades of secondary school students on CXC's mathematics examination is normally... (answered by stanbon)