MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.arrow_forwardFor samples of the specified size from the population described, find the mean and standard deviation of the sample meanx. The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 83 inches and a standard deviation of 14 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 49, determine the mean and standard deviation of x A) μ=83; 0x=2 B) μ = 2; σ= 83 Oc C) μ = 83; σ= 14 D) u 14; = 83 =arrow_forwardA nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.4 pounds per year. Assume the population standard deviation is 1.11 pounds. At α=0.06, can you reject the claim?arrow_forward
- Suppose a variable is Normally distributed with μ=345 and sigma σ=30. What proportion of the data has values between 330 and 345? Use four decimal places in your answer.arrow_forwardAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. с — °Carrow_forwardA distribution with a mean of μ =41 and a standard deviation of σ = 4 is transformed into a standardized distribution with μ=100 and σ= 20. Find the new, standardized score for each of the following values from the original population. 1.Original X= 39. Transformed X=? 2.Original X=36 . Transformed X=? 3.Original X=45. Transformed X=? 4.Original X=50. Transformed X=?arrow_forward
- For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 94, 93, 97. Use a sample size of 3. The mean of the population is (Round to two decimal places as needed.) Carrow_forwardFor all parts of this problem, assume that the weights of tomatoes are normally distributed with a mean of 1.8 lbs and a standard deviation of 0.47 lbs.arrow_forwardAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 46.73% from the rest? That is, if P(z > c) = 0.4673, find c. c = °Carrow_forward
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