Question-2 a. A dynamic cone penetrometer DCP is used for measuring material resistance to penetration (mm/blow) as a cone is driven into pavement. A sample of size 52 for DCP values in pavement structure evaluation has a mean of 28.7615 and a standard deviation of 12.2647. Test that the true = average DCP value, μ 30 against that the true average DCP value, μ< 30 using level of significance of 0.02.
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- Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"t investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 um and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. n USE SALT (a) What is the probability that the size of a single droplet is less than 1470 um? At least 950 µm? (Round your answers to four decimal places.) less than 1470 um at least 950 um (b) What is the probability that the size of a single droplet is between 950 and 1470 pm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of…Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"t investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. n USE SALT (a) What is the probability that the size of a single droplet is less than 1455 µm? At least 925 um? (Round your answers to four decimal places.) less than 1455 um at least 925 um (b) What is the probability that the size of a single droplet is between 925 and 1455 um? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of…DITO VOLTE 111 .ll ll OD: 26|| 8:10 TNT VOLTE B/s SLU SEA -.ODULE 6 Problem 3 A tire manufacturer claims that the average life of a certain grade of tire is greater than 25,000 miles under normal driving conditions on a car of a certain weight. A random sample of 15 tires is tested. A mean and standard deviation of 27,000 and 5000 miles, respectively, are computed. Assume that the lives of the tires in miles are approximately normally distributed. Can we conclude from these data that the manufacturer's product is as good as claimed? Use a .05 level of significance. Problem 4 A market research firm is interested in the amount that households in a certain town spend on RSIT
- A granular soil has an angle of friction with a mean value of 40° and a coefficient of variation of 2.5%. Determine the corresponding mean and standard deviations values for the bearing capacity coefficient, N..Researchers studied the relationship between weight (x) and antler growth (y) in male caribou in Alaska's Brook Range. Their sample of 83 caribou found an average weight of 163.4 kilograms (kg) with a standard deviation of 16.1 kg. The antlers had an average length of 109.7 eentimeters (em) with a standard deviation of 8.2 cm. The correlation was found to be 0.79. Compute the least squares regression line that predicts antler length from caribou weight. Ose this to prediction the antler length of a 170 kg. Write a sentence or two to your boss that discusses these results, including how well your regression line will make such a prediction.You are a forester working for Shenandoah National Park studying the diameter of oak trees. You measure the growth rate of 15 trees and find an average diameter of 10inches with a standard deviation of 9inches. The species you are studying has diameter of 12inches on average with a standard deviation of 8inches. Match the quantity from the above scenario to the appropriate statistic or parameter ✓n= ✓ μ = ✓ 6 = ✓ y = ✓ S= A. 15 B. 12 C. 8 D. 10 E. 9
- Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. In an academic paper investigating the effects of herbicide formulation on spray atomization, a figure in the paper suggested the normal distribution with a mean of 1050 μm and a standard deviation of 150 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (Round your answers to 4 decimal places, if needed.) [Note: When needed, correct answers use the provided z-table on eClass, but Excel can also be appropriately used to simulate the table.] (a) What is the probability that the size of a single droplet is less than 1380 pm? At least 915 pm? Less than 1380 um: At least 915 pm: (b) What is the probability that the size of a single droplet is between 915 and 1380 µm? (c) How would you characterize the smallest 1% of all droplets? The smallest 1% of droplets…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 4.7 feet. The mean braking distance for Make B is 44feet. 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. Complete parts (a) through (e). a) identify the claim and state Ho and Ha b) find the critical values and identify the rejection regions c) Find the standardized test statistic z d) Decide whether to reject or fail to reject the null hypothesis. e) Interpret the decision in the context of the original claim.Which of the following would probably NOT be a potential “cure” for non-normal residuals? Select one: a. Transforming two explanatory variables into a ratio. b. Removing large negative residuals. c. Removing large positive residuals. d. Using a procedure for estimation and inference which did not assume normality.
- The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 34.1 cm and the standard deviation is 3.4 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 25 30 35 40 45 ( cm)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 47 feet. Assume the population standard deviation is 4.2 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. Complete parts (a) through (e).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 41 feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 42 feet. Assume the population standard deviation is 4.4 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. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A.The mean braking distance is different for the two makes of automobiles. This is the correct answer. B.The mean braking distance is the same for the two makes of automobiles. C.The mean braking distance is less for Make A automobiles than Make B automobiles. Your answer is…