Statistics: Unit 4 Lesson 2 Review
On a test that has a normal distribution, a score of 53 falls one standard deviation below the mean, and a score of 74 falls two standard deviations above the mean. Determine the mean of this test.
60
Julian earned a score of 26 on Exam A that had a mean of 20 and a standard deviation of 4. He is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Julian score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
610
On a test that has a normal distribution, a score of 14 falls three standard deviations below the mean, and a score of 32 falls three standard deviations above the mean. Determine the mean of this test.
23
Anna earned a score of 40 on Exam A that had a mean of 50 and a standard deviation of 5. She is about to take Exam B that has a mean of 700 and a standard deviation of 100. How well must Anna score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
500
On a test that has a normal distribution, a score of 60 falls one standard deviation above the mean, and a score of 45 falls two standard deviations below the mean. Determine the mean of this test.
55
On a test that has a normal distribution, a score of 75 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean. Determine the mean of this test
57
On a standardized exam, the scores are normally distributed with a mean of 26 and a standard deviation of 5. Find the z-score of a person who scored 21 on the exam.
-1
On a test that has a normal distribution, a score of 23 falls two standard deviations below the mean, and a score of 43 falls two standard deviations above the mean. Determine the mean of this test.
33
Eli earned a score of 390 on Exam A that had a mean of 300 and a standard deviation of 40. He is about to take Exam B that has a mean of 600 and a standard deviation of 100. How well must Eli score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
825
On a standardized exam, the scores are normally distributed with a mean of 57 and a standard deviation of 10. Interpret the z-score of a person who scored 75 on the exam.
The person that scored 75 on the exam scored 1.8 standard deviations above the mean.
On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.
-1.5
On a standardized exam, the scores are normally distributed with a mean of 195 and a standard deviation of 10. Find the z-score of a person who scored 199 on the exam.
0.4
Zoey earned a score of 51 on Exam A that had a mean of 46 and a standard deviation of 10. She is about to take Exam B that has a mean of 650 and a standard deviation of 40. How well must Zoey score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
670
On a standardized exam, the scores are normally distributed with a mean of 115 and a standard deviation of 10. Interpret the z-score of a person who scored 104 on the exam.
The person who scored 104 on the exam scored 1.1 standard deviations below the mean score of 115.
On a standardized exam, the scores are normally distributed with a mean of 45 and a standard deviation of 5. Interpret the z-score of a person who scored a 37 on the exam.
The person who scored a 37 on the test scored below 1.6 standard deviations below the mean of 45.
