1. It turns out that the average retirement age of National Football League (or NFL) players...

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1. It turns out that the average retirement age of National Football League (or NFL) players is Normally distributed, with a mean of 33 years and a standard deviation of 2 years. Eddie George is a former NFL player who retired at the age of 30 years. What percentage of NFL players retired at an even younger age than Eddie George? A. 15.87% B. 6.68% c. 0.13% D. 2.27% E. 9.68% 2. 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 5 social media platforms on a regular basis must be equal to what value? A. 18.41% B. 13.57% c. 5.48% D. 81.59% E. 57.93% 3. In the United States, the prices of wedding cakes follow a Normal distribution, with a mean of $540 and a standard deviation of $115. What percentage of wedding cakes in this distribution cost between $500 and $700? A. 86.43% B. 95.54% c. 53.71% D. 38.21% E. 13.60% 4. ACT scores are Normally distributed, with a mean of 21 and a standard deviation of 5. When Rob's ACT score was standardized, it was equal to 1.5. What does this mean? A. Rob's ACT score is 1.5 times higher than the mean ACT score. B. Rob's ACT score is 1.5 standard deviations above the mean ACT score. c. Rob's ACT score is at the 1.5th percentile. D. Rob's ACT score is 22.5. E. Rob's ACT score falls below the median ACT score. 5. The weights of adult walleye fish follow a Normal distribution, with a mean of 24 pounds and a standard deviation of 1.5 pounds. Based on this information, along with what you know about the Empirical Rule, which one of the following statements is correct? A. Approximately 68% of adult walleyes weigh less than 25.5 pounds. B. Approximately 95% of adult walleyes weigh between 22.5 pounds and 25.5 pounds. c. Approximately 2.5% of adult walleyes weigh less than 19.5 pounds. D. Approximately 5% of adult walleyes weigh more than 27 pounds. E. Approximately 16% of adult walleyes weigh less than 22.5 pounds. 6. Scores on the final exam in Mr. White's chemistry course follow a Normal distribution, with a mean of 78.5 points and a standard deviation of 2.5 points. Mr. White decides to award a grade of "A" on the final exam to any student who receives an exam score in the top 3% of the distribution. This means that a student would need to score at least points on the final exam in order to receive an "A." A. 81.50 B. 83.25 c. 87.00 D. 79.25 E. 82.15 7. If a distribution is Normal, approximately how many standard deviations above the mean is Q3? A. 0.7 B. 0.3 c. 1.7 D. 3.0 E. It's impossible to answer this question without knowing the mean and standard deviation of the distribution. 8. Scores on Professor Hathaway's physics midterm exam are Normally distributed. When Kent receives his exam score, he learns that his score is at the 5th percentile. What does this mean? A. 95% of the exam scores were higher than Kent's exam score. B. Kent earned only 5% of the total points possible on the exam. c. Kent performed above average on the exam. D. Kent's exam score is two standard deviations below the mean exam score. E. None of the above answers are correct. 8. Scores on Professor Hathaway's physics midterm exam are Normally distributed. When Kent receives his exam score, he learns that his score is at the 5 percentile. What does this mean? A. 95% of the exam scores were higher than Kent's exam score. B. Kent earned only 5% of the total points possible on the exam. c. Kent performed above average on the exam. D. Kent's exam score is two standard deviations below the mean exam score. E. None of the above answers are correct. 9. The number of mistakes made on a particular typing test is Normally distributed. Five office employees-Kelly, Meredith, Stanley, Oscar, and Toby-each take this typing test, and the number of mistakes made by each of these employees is converted to a z-score. The z-scores are presented in the table below. Based on this information, who made the least mistakes and therefore performed best on the typing test? Employee Kelly Meredith Stanley Oscar Toby 2-score 2.2 0.4 -1.8 1.0 0 A. Kelly B. Meredith c. Stanley D. Oscar E. Toby 10. The number of dill pickle spears in a gallon container is Normally distributed, with a standard deviation of 2.5 spears. Suppose you learn that a gallon container with 120 spears is at the 88 percentile in this distribution. From this information, we know the mean of the distribution would therefore need to be equal to approximately A. 116 spears. B. 117 spears. c. 118 spears. D. 119 spears. E. 123 spears. 1. It turns out that the average retirement age of National Football League (or NFL) players is Normally distributed, with a mean of 33 years and a standard deviation of 2 years. Eddie George is a former NFL player who retired at the age of 30 years. What percentage of NFL players retired at an even younger age than Eddie George? A. 15.87% B. 6.68% c. 0.13% D. 2.27% E. 9.68% 2. 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 5 social media platforms on a regular basis must be equal to what value? A. 18.41% B. 13.57% c. 5.48% D. 81.59% E. 57.93% 3. In the United States, the prices of wedding cakes follow a Normal distribution, with a mean of $540 and a standard deviation of $115. What percentage of wedding cakes in this distribution cost between $500 and $700? A. 86.43% B. 95.54% c. 53.71% D. 38.21% E. 13.60% 4. ACT scores are Normally distributed, with a mean of 21 and a standard deviation of 5. When Rob's ACT score was standardized, it was equal to 1.5. What does this mean? A. Rob's ACT score is 1.5 times higher than the mean ACT score. B. Rob's ACT score is 1.5 standard deviations above the mean ACT score. c. Rob's ACT score is at the 1.5th percentile. D. Rob's ACT score is 22.5. E. Rob's ACT score falls below the median ACT score. 5. The weights of adult walleye fish follow a Normal distribution, with a mean of 24 pounds and a standard deviation of 1.5 pounds. Based on this information, along with what you know about the Empirical Rule, which one of the following statements is correct? A. Approximately 68% of adult walleyes weigh less than 25.5 pounds. B. Approximately 95% of adult walleyes weigh between 22.5 pounds and 25.5 pounds. c. Approximately 2.5% of adult walleyes weigh less than 19.5 pounds. D. Approximately 5% of adult walleyes weigh more than 27 pounds. E. Approximately 16% of adult walleyes weigh less than 22.5 pounds. 6. Scores on the final exam in Mr. White's chemistry course follow a Normal distribution, with a mean of 78.5 points and a standard deviation of 2.5 points. Mr. White decides to award a grade of "A" on the final exam to any student who receives an exam score in the top 3% of the distribution. This means that a student would need to score at least points on the final exam in order to receive an "A." A. 81.50 B. 83.25 c. 87.00 D. 79.25 E. 82.15 7. If a distribution is Normal, approximately how many standard deviations above the mean is Q3? A. 0.7 B. 0.3 c. 1.7 D. 3.0 E. It's impossible to answer this question without knowing the mean and standard deviation of the distribution. 8. Scores on Professor Hathaway's physics midterm exam are Normally distributed. When Kent receives his exam score, he learns that his score is at the 5th percentile. What does this mean? A. 95% of the exam scores were higher than Kent's exam score. B. Kent earned only 5% of the total points possible on the exam. c. Kent performed above average on the exam. D. Kent's exam score is two standard deviations below the mean exam score. E. None of the above answers are correct. 8. Scores on Professor Hathaway's physics midterm exam are Normally distributed. When Kent receives his exam score, he learns that his score is at the 5 percentile. What does this mean? A. 95% of the exam scores were higher than Kent's exam score. B. Kent earned only 5% of the total points possible on the exam. c. Kent performed above average on the exam. D. Kent's exam score is two standard deviations below the mean exam score. E. None of the above answers are correct. 9. The number of mistakes made on a particular typing test is Normally distributed. Five office employees-Kelly, Meredith, Stanley, Oscar, and Toby-each take this typing test, and the number of mistakes made by each of these employees is converted to a z-score. The z-scores are presented in the table below. Based on this information, who made the least mistakes and therefore performed best on the typing test? Employee Kelly Meredith Stanley Oscar Toby 2-score 2.2 0.4 -1.8 1.0 0 A. Kelly B. Meredith c. Stanley D. Oscar E. Toby 10. The number of dill pickle spears in a gallon container is Normally distributed, with a standard deviation of 2.5 spears. Suppose you learn that a gallon container with 120 spears is at the 88 percentile in this distribution. From this information, we know the mean of the distribution would therefore need to be equal to approximately A. 116 spears. B. 117 spears. c. 118 spears. D. 119 spears. E. 123 spears.

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1 To find the percentage of NFL players who retired at an even younger age than Eddie George Here we need to calculate the zscore for Eddie Georges retirement age and then find the percentage of value... View the full answer