On Exam 1, the average (mean) was 73 with a standard deviation of 8 | Complete Solution

On Exam 1, the average (mean) was 73 with a standard deviation of 8. On Exam 2, the average (mean) was 74 with a standard deviation of 3. You scored 77 on both exams. For which exam, was a score of 77 a better score (Z-score higher above the mean)?
A) Exam 1
B) Exam 2

2.
Exam 1 scores follow a normal distribution with a mean (average) of 73 and a standard deviation of 8. A score of 69 is at what percentile?
A) 69th percentile
B) 31st percentile
C) 50th percentile
D) unable to determine from the information given

3.
Exam 2 scores follow a normal distribution with a mean of 74 and a standard deviation of 3. A score of 76 corresponds to the 75th percentile. This indicates _____
A) 75% of students score 76 on the exam
B) 75% of students score above 76 on the exam
C) 75% of students score below 76 on the exam

4.
Exam 1 scores follow a normal distribution with a mean of 73 and a standard deviation of 8. A score of 81 corresponds to a Z-score of +1.0. What is the probability that a randomly selected student will score above 81 on Exam 1?
A) 19%
B) 84%
C) 16%
D) 81%

5.
Exam 1 scores follow a normal distribution with a mean of 73 and a standard deviation of 8. What is the score that corresponds to the 60th percentile?
A) 60
B) 75
C) 71
D) 73

6.
Exam 1 scores follow a normal distribution with mean 73 and standard deviation of 8. What percentage of the scores lie between the values of 69 and 81?
A) 68%
B) 95%
C) 53%
D) 47%

7.
Exam 2 scores follow a normal distribution with mean 74 and standard deviation 3. About 95% of Exam 2 scores fall within the interval _____
A) 71 to 77
B) 65 to 83
C) 68 to 80
D) 62 to 86