Done 6 myopenmath.com AA 0 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 6 v l3 0/1 pt '0 3 8 99 G) Details CNNBC recently reported that the mean annual cost of auto insurance is 1032 dollars. Assume the standard deviation is 219 dollars. You take a simple random sample of 95 auto insurance policies. Find the probability that a single randomly selected value is less than 977 dollars. P(X B 0/1 pt 0 3 2 99 G) Details NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem. The population of weights for men attending a local health club is normally distributed with a mean of 180-le and a standard deviation of 28-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6144-lbs. Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.) If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the evelator is full (on average) 6 times a day, how many times will the evelator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.) Is there reason for concern? yes, the current overload limit is not adequate to insure the safey of the passengers no, the current overload limit is adequate to insure the safety of the passengers Done 6 myopenmath.com AA (3 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 2 v l3 0/1 pt '0 3 8 99 G) Details A population of values has a normal distribution with p = 114 and a = 9.8. You intend to draw a random sample of size n : 17. Find the probability that a sample of size n : 17 is randomly selected with a mean greater than 118. P(M>118)= Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 0 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 1 v l3 0/1 pt '0 3 8 99 G) Details A population of values has a normal distribution with p = 26.2 and a = 66. You intend to draw a random sample of size n : 231. Find the probability that a single randomly selected value is greater than 40.1. P(X>40.1)= Find the probability that a sample of size n : 231 is randomly selected with a mean greater than 40.1. P(M>40.1)= Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 0 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 5 v l3 0/1 pt '0 3 8 99 G) Details A population of values has a normal distribution with p, : 104.1 and a : 28.9. You intend to draw a random sample of size n : 182. Find the probability that a single randomly selected value is between 98.5 and 106.2. P(98.5 IZO/1 pt '0 3 8 99 G) Details The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 37.2 seconds and a standard deviation of 5.4 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 34.2 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 41.4 seconds? c) What proportion of students take between 33.1 and 39.9 seconds to complete the activity? d) 85% of all students finish the activity in less than seconds. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 6 Chapters 6.1 - 6.2 Homework Score: 0/21 0/21 answered Progress saved Done (3) wlc. 0 Question 19 V l3 0/1 pt '0 3 8 99 G) Details Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 5.6-in and a standard deviation of 1.1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 4.4% or largest 4.4%. What is the minimum head diameter that will fit the clientele? min = What is the maximum head diameter that will fit the clientele? max = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 0 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 8 v l3 0/1 pt '0 3 8 99 G) Details A population of values has a normal distribution with p = 63.5 and a = 57.2. You intend to draw a random sample of size n : 196. Find P4, which is the score separating the bottom 4% scores from the top 96% scores. P4 (for single values) = Find P4, which is the mean separating the bottom 4% means from the top 96% means. P4 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 0 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 3 v l3 0/1 pt '0 3 8 99 G) Details A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 132.6-cm and a standard deviation of 1.5-cm. For shipment, 21 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 132.7-cm. P(M l3 0/1 pt '0 3 8 99 G) Details In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.3 inches, and standard deviation of 7.8 inches. What is the probability that the height of a randomly chosen child is between 38.7 and 50.8 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer: (Round your answer to 3 decimal places.) Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 6 Chapters 6.4 Homework Score: 0/9 0/9 answered Progress saved Done (3) wlc. 0 Question 4 v l3 0/1 pt '0 3 8 99 G) Details The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.1 years and a standard deviation of 0.4 years. He then randomly selects records on 53 laptops sold in the past and finds that the mean replacement time is 3 years. Assuming that the laptop replacement times have a mean of 3.1 years and a standard deviation of 0.4 years, find the probability that 53 randomly selected laptops will have a mean replacement time of 3 years or less. P(M 5 3 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? 0 No. The probability of obtaining this data is high enough to have been a chance occurrence. 0 Yes. The probability of this data is unlikely to have occurred by chance alone. Question Help: 8 Message instructor IZO/1 pt '0 3 8 99 G) Details An electronic product takes an average of 10 hours to move through an assembly line. If the standard deviation of 0.4 hours, what is the probability that an item will take between 9.5 and 10 hours to move through the assembly line? Do not round until you get your your final answer. Answer: (Round your answer to 4 decimal places, and report a probability value between 0 and 1.) Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 0 Chapters 6.1 - 6.2 Homework Score: 0/21 0/21 answered Progress saved Done (3) wlc. 0 Question 15 V l3 0/1 pt '0 3 8 99 G) Details In her MAT135 class, professor Alayeb found that the mean score of the first exam was 95. Suppose that the scores are normally distributed with a standard deviation of 12 points. What is the probability that a randomly selected score is less than 47? P(a: 80) = what is the probability that a randomly selected score is between 47 and 80 ? P(47 l3 0/1 pt '0 3 8 99 G) Details The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days and a standard deviation of 14 days. In what range would you expect to find the middle 98% of most pregnancies? Between and If you were to draw samples of size 45 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers. Your answers should be accurate to 1 decimal places. Question Help: 8 Message instructor Submit Question Done 6 myopenmath.com AA 0 Chapters 6.1 - 6.2 Homework Score: 0/21 0/21 answered Progress saved Done (3) wlc. 0 Question 17 V l3 0/1 pt '0 3 8 99 G) Details In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.5 inches, and standard deviation of 3.2 inches. A) What is the probability that a randomly chosen child has a height of less than 48.5 inches? Answer: (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 55.2 inches? Answer: (Round your answer to 3 decimal places.) Question Help: Video 8 Message instructor Submit Question Done 6 myopenmath.com AA (3 Chapters 6.1 - 6.2 Homework Score: 0/21 0/21 answered Progress saved Done (3) wlc. 0 Question 16 v l3 0/1 pt '0 3 8 99 G) Details A particular fruit's weights are normally distributed, with a mean of 461 grams and a standard deviation of 36 grams. If you pick one fruit at random, what is the probability that it will weigh between 514 grams and 552 grams Question Help: Video 8 Message instructor Submit Question Done 8 myopenmath.com AA 6 Chapters 6.1 - 6.2 Homework Score: 0/21 0/21 answered Progress saved Done (3) wlc. 0 Question 12 V l3 0/1 pt '0 3 8 99 G) Details Find the area of the shaded region under the standard normal distribution between the given Z-scores. Round your answer to four decimal places. -4 -3 -2 -I 0 J 2 3 4 -0.223 0. 71 P( 0.23 l3 0/1 pt '0 3 8 99 G) Details A population of values has a normal distribution with p = 114 and a = 9.8. You intend to draw a random sample of size n : 17. Find the probability that a sample of size n : 17 is randomly selected with a mean greater than 118. P(M>118)= Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: 8 Message instructor Submit