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In: Economics
The final marks in a statistics course are normally distributed with a mean of 70 and...
The final marks in a statistics course are normally distributed with a mean of 70 and a variance of 100. The professor must convert all marks to letter grades. He decides that he wants 10% A's, 30% B's, 40% C's, 15% D's and 5% F's. Determine the cutoffs for each letter grade.
Solutions
Rahul Sunny answered 2 years agoRelated Solutions
A set of final exam grades in ST2500 course is normally distributed with mean 70 and...
A set of final exam grades in ST2500 course is normally
distributed with mean 70 and standard deviation of 8. (a) What is
the probability of getting a grade of A(greater or equal 80) on
this exam? (4) (b) What is the probability of that a student scored
between 65 and 79? (4) (c) The probability is 10% that a student
taking the exam scores higher than what grade?
The final exam scores in a statistics class were normally distributed with a mean of 70...
The final exam scores in a statistics class were normally
distributed with a mean of 70 and a standard deviation of five.
What is the probability that a student scored less than 55% on the
exam?
A set of final examination grades in an introductory statistics course is normally distributed, with a...
A set of final examination grades in an introductory statistics
course is normally distributed, with a mean of 7 and a standard
deviation of 9.
What is the probability that a student scored between 66 and
99?
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 50 exams has an average midterm test
mark that is less than 70?
a. Virtually 0
b. 0.2033
c. -5.89
d. 0.2776
e. Virtually 1
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 25 exams has a sample mean between 71
and 73?
a. 0.45293
b. 0.04793
c. 0.0475
d. 0.0485
e. 0.04707
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 50 exams has a sample mean between 74
and 75?
a. 0.3810
b. 0.1210
c. 0.4641
d. 0.3790
e. 0.1190
final exam scores in a mathematics course are normally distributed with a mean of 79 and...
final exam scores in a mathematics course are normally
distributed with a mean of 79 and a standard deviation of 8. an
exam score is 103 and the Z score is 3, what is the percentile
Scores on a statistics final in a large class were normally distributed with a mean of...
Scores on a statistics final in a large class were normally
distributed with a mean of 72 and a standard deviation of 4 . Use
the Cumulative Normal Distribution Table to answer the
following.
(a) Find the 37 th percentile of the scores.
(b) Find the 70 th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 12 % of the class. What is the minimum score
needed...
Scores on a statistics final in a large class were normally distributed with a mean of...
Scores on a statistics final in a large class were normally
distributed with a mean of 76 and a standard deviation of 9.
(a) Find the 25th percentile of the scores.
(b) Find the 79th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 13% of the class. What is the minimum score
needed to get an A?
(d) Between what two values is the middle 60% of...
Scores on a statistics final in a large class were normally distributed with a mean of...
Scores on a statistics final in a large class were normally
distributed with a mean of 71 and a standard deviation of 8. Use
the Cumulative Normal Distribution Table to answer the
following.
(a) Find the 30th percentile of the scores.
(b) Find the 70th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 5 % of the class. What is the minimum score
needed to get an...
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