The completion times for a particuiar running lace are normally distributed. Suppose a runner's completion time is 0.8 standard deviations below the mean. What is the runner's percentile score? Round your result to one decimal place. |:|% 2. [-12 Points] At the conclusion of training, all factory workers are timed as they complete a task. The completion times for the task are normally distributed. Suppose a worker's completion time is 0.6 standard deviations above the mean. What is the worker's percentile score? Round your result to one decimal place. |:|% 3. [-16 Points] At a local coffee shop, wait times fora cup of plain coffee are normally distributed with a mean of 90 seconds and a standard deviation of 15 seconds. a. What is the z-score of an 84-second wait time for a cup of plain coffee? Round your result to one decimal place. b. What percentile is associated with the ziscore you calculated in part a? Round your answer to one decimal place. Interpret the percentile in a way that is specic to coffee wait times. 0 34.5% of wait times are between 84 and 90 seconds. 0 34.5% of wait times are less than 84 seconds. 0 34.5% of wait times are 15 seconds away from 90 seconds. 0 34.5% of wait times are longer than 84 seconds. The wingspans of a certain type of bird are normally distributed with a mean of 7 inches and a standard deviation of 0.65 inches. a. What is the z-score of a bird of this type with a wingspan of 6.6 inches? Round your result to one decimal place. Z b. What percentage of birds of this type have wingspans less than 6.6 inches? Round your result to one decimal place. /% c. What percentage of birds of this type have wingspans more than 6.6 inches? Round your result to one decimal place. 5. [-/5 Points] DETAILS When workers are trained on a piece of new equipment, the time it takes them to demonstrate mastery is approximately normally distributed with a mean of 84 minutes and a standard deviation of 6.8 minutes. a. What is the z-score of a worker that takes 100 minutes to demonstrate mastery? Round your result to one decimal place. Z : b. What percentage of workers take longer than 100 minutes to demonstrate mastery? Round your result to one decimal place. %At a bottling plan, a machine fills bottles with soda to a mean level of 12.1 fluid ounces of soda and a standard deviation of 0.15 fluid ounces. Assume that fill levels are normally distributed. a. What is the z-score of a bottle with a fill level of 12.2 fluid ounces? Round your result to one decimal place. Z = b. What percentage of bottles have fill levels less than 12.2 fluid ounces? Round your result to one decimal place. c. What is the z-score of a bottle with a fill level of 12.3 fluid ounces? Round your result to one decimal place. Z= d. What percentage of bottles have fill levels greater than 12.3 fluid ounces? Round your result to one decimal place. % e. What percentage of bottles have fill levels between 12.2 and 12.3 fluid ounces? % 7. [-/10 Points] DETAILS At another local coffee shop, wait times for a cup of plain coffee are normally distributed with a mean of 125 seconds and a standard deviation of 22 seconds. a. What percentage of wait times for a cup of plain coffee are less than 90 seconds? Round the percentage to two decimal places. 1% b. What percentage of wait times for a cup of plain coffee are greater than 125 seconds? % c. What percentage of wait times for a cup of plain coffee are between 90 seconds and 125 seconds? Round your answer to two decimal places. % d. On a particular day, 200 people waited for a plain cup of coffee. How many of them would we expect to have waited between 90 seconds and 125 seconds to get their coffee? Round to the nearest whole number. customersThe length of pregnancy for a certain breed of domestic cats is normally distributed with a mean of 65.6 days and a standard deviation of 3.3 days. A pregnancy that lasts less than 60 days is preterm. What percentage of pregnancies of this breed are preterm? Round your response to one decimal place. % [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER The annual salaries for people in a particular profession are known to be normally distributed with a mean of $54,800 and a standard deviation of $2,600. What percentage of people in this profession earn annual salaries between $54,000 and $57,000? Round your result to one decimal place. %