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0 Question 14 v A population of values has a normal distribution with u : 218.2 and a = 27.9. You intend to draw a random sample of size n : 89. Find P6, which is the score separating the bottom 6% scores from the top 94% scores. P6 (for single values) = Find P6, which is the mean separating the bottom 6% means from the top 94% means. P6 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtaine d using exact z-'scores or z~ scores rounded to 3 decimal places are accepted. Question Help: 8 Message instructor 0 Question 17 v Let X represent the full height of a certain species of tree. distribution with u = 227.2 ft and o- = 79.3 ft. You intend to measure a random sample of n : 51 trees. What is the mean of the distribution of sample means? the mean)? (Report answer accurate to 2 decimal places.) 0'5 2 ft Question Help: 8 Message instructor Assume that X has a normal probability 0 Question 5 v The population of weights of a particular fruit is normally distributed, with a mean of 271 grams and a standard deviation of 26 grams. If 25 fruits are picked at random, then 13% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram. Question Help: El Video 8 Message instructor R Submit Question Question 19 CNNBC recently reported that the mean annual cost of auto insurance is 1042 dollars. Assume the standard deviation is 274 dollars. You take a simple random sample of 63 auto insurance policies. Find the probability that a single randomly selected value is at least 967 dollars. P(X > 967) = Find the probability that a sample of size n = 63 is randomly selected with a mean that is at least 967 dollars. P(M > 967) = Enter your answers as numbers accurate to 4 decimal places. Question Help: Message instructor Submit QuestionQuestion 15 A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 126.3-cm and a standard deviation of 1.2-cm. For shipment, 9 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 125.5-cm. P(M > 125.5-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Question Help.Question 10 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 0.6 years. He then randomly selects records on 48 laptops sold in the past and finds that the mean replacement time is 2.9 years. a. Find the probability that 48 randomly selected laptops will have a mean replacement time of 2.9 years or less. Round your answer to four decimal places. P(M 79.3) = Question Help: Message instructor Submit Question0 Question 16 v A manufacturer knows that their items have a normally distributed length, with a mean of 5.9 inches, and standard deviation of 1.5 inches. Submit Question Question 18 A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 40 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 40 weeks and that the population standard deviation is 2.2 weeks. Suppose you would like to select a random sample of 58 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 40. P(X > 40) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 58 is randomly selected with a mean greater than 40. P(M > 40) = (Enter your answers as numbers accurate to 4 decimal places.) Question Help: Video Message instructor0 Question 5 v The population of weights of a particular fruit is normally distributed, with a mean of 271 grams and a standard deviation of 26 grams. If 25 fruits are picked at random, then 13% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram. Question Help: El Video 8 Message instructor R Submit Question Question 12 A population of values has a normal distribution with u - 239.2 and o = 5.1. You intend to draw a random sample of size n = 212. Find the probability that a single randomly selected value is greater than 240. P(X > 240) = Find the probability that a sample of size n = 212 is randomly selected with a mean greater than 240. P(M > 240) = 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: Message instructor0 Question 11 v A population of values has a nor mal distribution with p : sample of size n : 12. 34 and (7 : 40.8. You intend to draw a random What is the mean of the distribution of sample means? #i = What is the standard deviation of the distribution (Report answer accurate to 2 decimal places.) 0'33: of sample means? Question Help: E Video 8 Message instructor 0 Question 7 v A population of values has a normal distribution with ,u = 88.5 and a = 43.9. a. Find the probability that a single randomly selected value is less than 87.5. Round your answer to four decimal places. , P(X A normal distributed population has parameters [1 : n 2 61 is selected, 86.2 and a = 54.2. If a random sample of size a. What is theimean of the distribution of sample means? #5 = b. What is the standard deviation of the distribution of sample means? Round to two decimal places