e mean heights of plants in a garden are approximately normally stributed with mean of 20 cm, variance 9 cm^2, and a random sample of ze n taken from the distribution. What sample size n is necessary in der that the probability that the plants' mean height falling between 19.9 n and 20 cm is 0.95?
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- Suppose that the time in minutes it takes a student to complete an assignment is normally distributed with a mean 50 and variance 100 then the 35th percentile of the average time it takes a random sample of 49 students to complete the assignment is closest to a. 49. b. 46. OC. 51. O d. 44. Ое. 54.Suppose steel wires have the tensile strength represented by a normal distribution with mean value equal to 5000N and standard deviation equal to 150N. Knowing that these wires will be used in the manufacture of a steel cable to be mounted on the boom of a crane, what should be the number of wires to be used in the manufacture of this cable so that the probability of the cable breaking with a load less than 50,000N is 2%?What would be the safety factor associated with this probability of failure?Suppose the resistance of the cable is expressed by the sum of the resistance of the wires that make it up.The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.9 ppm and standard deviation 1.5 ppm. 12 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? For the 12 cities, find the probability that the average amount of pollutants is more than 9 ppm. For part d), is the assumption that the distribution is normal necessary? NoYes Find the IQR for the average of 12 cities.Q1 = ppmQ3 = ppmIQR: ppm
- The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 4.5 ounces. 13 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(?,?) What is the distribution of ¯xx¯? ¯xx¯ ~ N(?,?) What is the probability that one randomly selected person drinks between 16 and 18.5 ounces of coffee per day? For the 13 people, find the probability that the average coffee consumption is between 16 and 18.5 ounces of coffee per day. For part d), is the assumption that the distribution is normal necessary? No or Yes Find the IQR for the average of 13 coffee drinkers.Q1 = ? ouncesQ3 = ? ouncesIQR: ? ouncesthe ability to determine the age of some individuals can be difficult if there are not quality government records of birth bone growth takes place at the growth plates at the end of long bones once all growth plates fuse growth stops and an individual is considered a biological adult the age at which growth plates fuse for males is approximately normally distributed with a mean of 19.2 years and a standard deviation of 15.3 months what is the probability of a males growth plates fuse after age 21Suppose the current measurements made on a conductor wire track follow a normal distribution with mean 10 milliamperes and variance 4 (milliamperes)^2 a) what is the probability that the value of a measurement is less than 9 milliamperes? b) what is the probability that the value of a measurement is greater than 13 milliamps? c) what is the probability that the value of a current measurement is between 9 and 11 milliamperes?
- Valve stem made by an automatic machine have lengths which are normally distributed with a mean of 50 mm and a standard deviation of 0.25 mm.What is the probability that the mean length of a sample of 4 stem will be more than 0.10 mm from the population mean length of 50 mm?In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.1 inches, and standard deviation of 1.8 inches.What is the probability that the height of a randomly chosen child is between 59.1 and 60.3 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.)In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.2 inches, and standard deviation of 8.3 inches.What is the probability that the height of a randomly chosen child is between 65.95 and 75.15 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.)
- The waiting time to get food at a fast-food restaurant is 4.7 minutes on average with standard deviation of 2.5 munutes. Suppose that a sample of 32 customers is randomly selected. A. What are the mean and standard deviation of the sample mean waiting time of 32 customers? Mean = Standard Deviation (standard error of the mean) minutes minutes Round standard error to 5 decimal places. B. What is the probability that the average waiting time of 32 customers is less than 4.4 minutes? Round to 4 decimal places. C. What is the probability that the average waiting time of 32 customers is greater than 4.8 minutes? Round to 4 decimal places. D. What is the probability that the average waiting time of 32 customers is between 4.4 and 4.8 minutes? Answer: Answer:In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.1 inches, and standard deviation of 1.1 inches. What is the probability that the height of a randomly chosen child is between 52.95 and 54.85 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.)The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players' salaries and 35 football players' salaries is selected. The mean salary is determined for both samples. Let -, represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ,-7,? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30