The amount of natural gas that flows through a transmission line is measured in pounds ofpressure. Assume that the average amount of natural gas in a 16-inch transmission main issupposed to be approximately 625 pounds per square inch. Past studies have suggested thatthis average varies by a standard deviation of 70 pounds per square inch. What is the probabilitythat the Federal Energy Regulatory Commission (FERC) will randomly test a line and find thepressure to be less than 650 pounds? What is the probability that it is at most 640 pounds persquare inch?6.

GivenX~N(625,70)Note: 70 is standard deviationWe have used the method to standardize the normal…

Answered: The amount of natural gas that flows…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.
Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. What is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule. Provide the final answer as a percent rounded to two decimal places.
Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
The length of a movie file that is available for streaming is modeled using the normal distribution shown below.
If we collected data on how many pets each person in our class has, describe a situation that the standard deviation would be 0. Jo thinks that the only way for this to happen is for everyone to have no pets. Explain to Jo why the answer they have is correct, but not the only way.
The Michelin tires in average will last for 60000 miles. A technician claims that the deviation of mileage for wearied off tires is 25000 miles. If 16 such tires are tested, find the probability that for those tires the average wearied off mileage is between 55000 and 65000 miles.
The amount of liquid in a particular group of bottles is normally distributed. The mean is 1.95 L and the standard deviation is 0.15L. If a bottle is chosen at random, find the probability that the amount of water is between 1.88 L and 2.15 L Show all work as in the lessons. Paragraph B I U = I ***
The weights of an adult female population of killer whales are approximately normally distributed with a mean of 18,000 pounds and a standard deviation of 4,000 pounds. The weights of an adult male population of killer whales are approximately normally distributed with a mean of 30,000 pounds and a standard deviation of 6,000 pounds. A certain adult male killer whale weighs 24,000 pounds. This adult male would have the same z-score weight as a female killer whale whose weight, in kilograms, is equal to which of the following? Select one: 1. 24,000 2. 30,000 3. 36,000 4. 21,000 5. 14,000
In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test had a mean score of 230 with a standard deviation of 23. Assume the scores are normally distributed. Find the probability that a student had a score higher than 285.
In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)
A particular fruit's weights are normally distributed, with a mean of 317 grams and a standard deviation of 29 grams. If you pick 25 fruits at random, then 5% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. The program reports x=31.5 and o = 2.5. What is the variance of the data? Round to the nearest tenth. O 1.6 O 2.5 O 5.6 O 6.3

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