E/MA REA MORRISON the h 248 Statistics Lesson #6 Applications Involving The Normal Distribution 9. What...

Transcribed Image Text:

E/MA REA MORRISON the h 248 Statistics Lesson #6 Applications Involving The Normal Distribution 9. What z-score interval, symmetrical about the mean, contains i) 95%, ii) 99%, of the data under a standard normal distribution curve? 13. In 10. A nut bolt with a circular opening is rejected if its diameter is greater than 2.01 cm or less than 1.97 cm. What is the expected number of rejected nut bolts if the diameter in a batch of 15 000 bolts are normally distributed with a mean of 2.00 cm and a standard deviation of 0.01 cm? Numerical 14. Response 11. At the Department of Statistics located at Range City, employees are encouraged to car pool for environmental reasons. Miss Median and Mr. Data are two such employees who car pool. The mean time and standard deviation required for the trip from their apartment building to the office is 25 minutes and 5 minutes respectively. If the data is normally distributed, at what time, to the nearest minute, should they leave the apartment building to give themselves a 98.5% chance that they will be at work by 8 a.m.? 15 Multiple 12. A star offensive hockey player averaged 611 shots per season with a standard deviation of 57 shots. The number of shots per season is normally distributed. If the player played for 16 seasons, then the number of seasons the player had at least 675 shots is Choice A. 1 B. 2 C. 3 D. 4 Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement E/MA REA MORRISON the h 248 Statistics Lesson #6 Applications Involving The Normal Distribution 9. What z-score interval, symmetrical about the mean, contains i) 95%, ii) 99%, of the data under a standard normal distribution curve? 13. In 10. A nut bolt with a circular opening is rejected if its diameter is greater than 2.01 cm or less than 1.97 cm. What is the expected number of rejected nut bolts if the diameter in a batch of 15 000 bolts are normally distributed with a mean of 2.00 cm and a standard deviation of 0.01 cm? Numerical 14. Response 11. At the Department of Statistics located at Range City, employees are encouraged to car pool for environmental reasons. Miss Median and Mr. Data are two such employees who car pool. The mean time and standard deviation required for the trip from their apartment building to the office is 25 minutes and 5 minutes respectively. If the data is normally distributed, at what time, to the nearest minute, should they leave the apartment building to give themselves a 98.5% chance that they will be at work by 8 a.m.? 15 Multiple 12. A star offensive hockey player averaged 611 shots per season with a standard deviation of 57 shots. The number of shots per season is normally distributed. If the player played for 16 seasons, then the number of seasons the player had at least 675 shots is Choice A. 1 B. 2 C. 3 D. 4 Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement