1. The weights of adult walleye fish follow a Normal distribution, with a mean of 24.5 pounds and a standard deviation of 2 pounds. The Empirical Rule tells us that approximately 68% of these weights will be between

A. 23.5 pounds and 24.5 pounds.

B. 21.5 pounds and 28.5 pounds.

C. 18.5 pounds and 30.5 pounds.

D. 22.5 pounds and 26.5 pounds.

E. 20.5 pounds and 28.5 pounds.

2. A distribution of exam scores is Normal, with a mean of 79 points and a standard deviation of 6 points. Alicia is told that her exam score is at the 50^th percentile in this distribution. Gordon is told that his exam score is equal to the mean exam score. Carrie is told that her exam score is equal to the median exam score. Who has the highest exam score?

A. There is not enough information available in the problem to answer this question.

B. Alicia, Gordon, and Carrie all scored exactly the same on the exam.

C. Alicia has the highest exam score.

D. Gordon has the highest exam score.

E. Carrie has the highest exam score.

3. Scores on the Dental Anxiety Scale can range from 0 (no anxiety) to 20 (extreme anxiety). Suppose the distribution of Dental Anxiety Scale scores from a large population of college students is Normal, with a mean of 11 and a standard deviation of 3.5. What percentage of college students in this population have scores below 7 on this scale?

A. 9.68%

B. 13.57%

C. 3.59%

D. 18.41%

E. 86.43%

4. A large population of college students was asked to complete a survey. One survey question was as follows: "How many different social media platforms do you use on a regular basis?" The distribution of responses to this survey question is Normal, with a mean of 3.9 and a standard deviation of 1.2. Based on this information, we know the percentage of students in this population who use more than 6 social media platforms on a regular basis must be equal to what value?

A. 84.13%

B. 5.48%

C. 15.18%

D. 3.59%

E. 96.41%

5. According to a physical fitness organization, the amount of time it takes to run a mile, for high school students, is Normally distributed, with a mean of 450 seconds and a standard deviation of 40 seconds. What percentage of high school students can run a mile between 475 seconds and 525 seconds?

A. 24.55%

B. 90.32%

C. 69.71%

D. 27.42%

E. 72.58%

6. The lengths of typical, healthy human pregnancies are Normally distributed, with a mean of 266 days and a standard deviation of 16 days. If Monica's pregnancy lasts for 236 days, this means that Monica is at approximately what percentile?

A. 18.41

B. 6.68

C. 97.13

D. 2.87

E. 9.68

7. Scores on a particular intelligence test are Normally distributed, with a mean of 100 and a standard deviation of 15. When Tom's score on this test was standardized, it was equal to 2.5. What does this mean?

A. Tom's score is at the 2.5^th percentile.

B. 2.5% of test scores were higher than Tom's score.

C. Tom's actual test score was 102.5.

D. Tom's test score is 2.5 times higher than the mean test score.

E. Tom's test score is 2.5 standard deviations above the mean test score.

8. Scores on the final exam in Mr. White's chemistry course follow a Normal distribution, with a mean of 72.5 points and a standard deviation of 4 points. If Rebekah's score on this exam is at the 99^th percentile, this means Rebekah earned approximately how many points on the exam?

A. 99

B. 85

C. 82

D. 80

E. 87

9. If a distribution is Normal, approximately how many standard deviations above the mean is the 75^th percentile?

A. 0.3

B. 1.7

C. 3.0

D. 0.7

E. It's impossible to answer this question without knowing the mean and standard deviation of the distribution.

10. Scores on Professor Hathaway's physics midterm exam are Normally distributed, with a mean of 62.5 points and a standard deviation of 7.8 points. When Jordan receives her exam score, she learns that her score is at the 30^th percentile. This means that Jordan earned _____________ on the midterm exam.

A. less than 46.9 points

B. between 46.9 points and 54.7 points

C. between 54.7 points and 62.5 points

D. between 62.5 points and 70.3 points

E. more than 70.3 points