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
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-> 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
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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.
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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.
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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.
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c) 1.6949=(x-73)/6
x-73=10.1694
x=83.2
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d) z=(64-60)/3=4/3=1.3333
z=(80-73)/6=13/6=2.1667
.
Ed
