2 The following five observations are observed repair times for an airplane engine:3.6, 23.3, 31.5, 17.9, 4.0.The following questions can be answered independently of each other.(a) Assume that the data come from the gamma distribution with mean equal to 10. Usethe method of moments to estimate the shape and scale parameters. [Hint: WriteE(X²) as a function of E(X) and 2.](b) Use the Kolmogorov-Smirnov test with type I error 0.10 to assess the hypothesis "thedata come from the gamma distribution with shape parameter equal to 2 and scaleparameter equal to 0.2".

The data set is given as 3.6, 23.3, 31.5, 17.9 and 4

Answered: The following five observations are…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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pan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8462 0.4148 2.06 0.84 Weight 0.40592 0.02978 13.52 0.000 S = 0.517508 R-Sq = 95.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8489 0.4148 2.06 0.84 Weight 0.39863 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94. 8 % (a) Write out the least-squares equation. = (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.) (c) What is the value of the correlation coefficient r? (Use 3 decimal places.)
Fit an exponential curve of the form y = ab* to the following data: 3 1 2 4 5 6 4.7 7 y 1.0 1.2 1.8 2.5 3.6 6.6 9.1
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T PConstant 0.8570 0.4148 2.06 0.84Weight 0.38243 0.02978 13.52 0.000 S = 0.517508 R-Sq = 97.4% (a) Write out the least-squares equation. y^= ______ + _____x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)

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The following five observations are observed repair times for an airplane engine: 3.6, 23.3, 31.5, 17.9, 4.0. The following questions can be answered independently of each other.