A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a) through (d). ..... a. What is the probability that a student scored below 91 this exam? The probability that a student scored below 91 is 0.9564 (Round to four decimal places as needed.) b. What is the probability that a student scored between 72 and 99? The probability that a student scored between 72 and 99 is 0.8392 (Round to four decimal places as needed.) c. The probability is 25% that a student taking the test scores higher than what grade? The probability is 25% that a student taking the test scores higher than 84 (Round to the nearest integer as needed.) ion 1 Ist d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam, where the mean is 66 and the standard deviation is 47 Show your answer statistically and explain. tion S stion 9 and the Z with a grade of 93 on the exam with mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is A student is value for the grade of 70 on the different exam is (Round to two decimal places as needed.)
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a) through (d). ..... a. What is the probability that a student scored below 91 this exam? The probability that a student scored below 91 is 0.9564 (Round to four decimal places as needed.) b. What is the probability that a student scored between 72 and 99? The probability that a student scored between 72 and 99 is 0.8392 (Round to four decimal places as needed.) c. The probability is 25% that a student taking the test scores higher than what grade? The probability is 25% that a student taking the test scores higher than 84 (Round to the nearest integer as needed.) ion 1 Ist d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam, where the mean is 66 and the standard deviation is 47 Show your answer statistically and explain. tion S stion 9 and the Z with a grade of 93 on the exam with mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is A student is value for the grade of 70 on the different exam is (Round to two decimal places as needed.)
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The drop down is better off or worse off
![A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a)
through (d).
a. What is the probability that a student scored below 91 on this exam?
The probability that a student scored below 91 is 0.9564
(Round to four decimal places as needed.)
b. What is the probability that a student scored between 72 and 99?
The probability that a student scored between 72 and 99 is 0.8392
(Round to four decimal places as needed.)
Eisi
c. The probability is 25% that a student taking the test scores higher than what grade?
The probability is 25% that a student taking the test scores higher than 84
(Round to the nearest integer as needed.)
Etion
stion 4
stion 8
d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a
grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam, where the mean is 66 and the standard deviation is
4? Show your answer statistically and explain.
Estion 5
Eestion
A student is
with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is and the Z
value for the grade of 70 on the different exam is
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F108f85ec-5786-44dd-b590-51bf325bef20%2Fdab0e613-9528-4b7d-b907-de65b72328b2%2Fk9v0hus_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a)
through (d).
a. What is the probability that a student scored below 91 on this exam?
The probability that a student scored below 91 is 0.9564
(Round to four decimal places as needed.)
b. What is the probability that a student scored between 72 and 99?
The probability that a student scored between 72 and 99 is 0.8392
(Round to four decimal places as needed.)
Eisi
c. The probability is 25% that a student taking the test scores higher than what grade?
The probability is 25% that a student taking the test scores higher than 84
(Round to the nearest integer as needed.)
Etion
stion 4
stion 8
d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a
grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam, where the mean is 66 and the standard deviation is
4? Show your answer statistically and explain.
Estion 5
Eestion
A student is
with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is and the Z
value for the grade of 70 on the different exam is
(Round to two decimal places as needed.)
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