An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:415 420 422 423 426 429 432 435 436439 446 447 448 452 459 463 464(a) Construct a boxplot of the data.420430440450460420430440450460420430440450460420430440450460Comment on any interesting features. (Select all that apply.)There are no outliers.There is little or no skew.There is one outlienThe data is strongly skewed.The data appears to be centered near 439.The data appears to be centered near 429.(b) Is it plausible that the given sample observations were selected from a normal distribution?O Yes○ No(c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)Does the interval suggest that 445 is a plausible value for true average degree of polymerization?O Yes○ NoDoes the interval suggest that 451 is a plausible value?© Yes○ No

The boxplot analysis reveals several key insights about the distribution of the degree of…

Answered: An article contained the following…

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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The following data was reported on total Fe for four types of iron formation (1= carbonate, 2 = silicate, 3 = magnetite, 4 = hematite). 1: 20.9 28.1 27.8 27.0 28.1 25.2 25.3 27.1 20.5 31.1 2: 26.6 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.7 3: 29.8 34.0 27.5 29.4 27.8 26.2 29.9 29.5 30.0 36.2 4:36.7 44.2 34.1 30.3 31.5 33.1 34.1 32.9 36.3 25.7 USE SALT Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. Hoi H₁ H₂ H3 H4 H: at least two 's are equal Ho: 441 442 443 444 H: all four μ's are unequal Ho: My=4₂=143 = 14 H: at least two /'s are unequal o Hoi khi đi không đi không khả H: all four μ's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Squares Source Treatments 3 36 39 Error Total df 515.71 563.2 1078.91 Give the test statistic. (Round your answer to two decimal places.) f= 10.99 What can be said about the P-value for the test? P-value > 0.100 0.050
The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST 4200 3600 3750 3675 4050 2745 RBOT 370 335 375 310 350 200 TOST 4870 4475 3450 2675 3750 3275 RBOT 400 370 285 230 345 290
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: МОЕ 29.9 33.3 33.6 35.4 35.6 36.0 36.3 36.4 37.6 37.6 Strength 6.0 7.1 7.4 6.2 8.2 6.9 6.9 7.7 6.7 6.6 МОЕ 38.8 38.9 39.7 40.9 42.7 42.7 43.4 45.5 46.1 47.0 Strength 6.9 6.4 7.8 9.1 8.3 8.8 7.7 9.8 7.3 7.6 МОЕ 48.1 49.2 51.8 62.5 69.9 79.6 80.1 Strength 9.8 7.7 7.6 11.5 11.2 11.7 10.8 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ŷ = 7.595, s; = 0.186 when x = 40 and ŷ = 9.706, = 0.263 %3D for x = 60. The simple linear regression model also resulted in a value of s = 0.9008. (a) Explain why s; is larger when x = 60 than when x = 40. The farther x is from…
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.0 7.2 6.8 6.5 7.0 6.3 7.9 9.0 9.7 8.1 7.7 11.6 11.3 11.8 10.7 observations for cylinders. 5.9 7.2 7.3 6.3 8.1 6.8 8.4 8.7 7.8 9.7 7.4 7.7 The data below give accompanying strength 6.7 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.1 7.0 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.4 Prior to obtaining data, denote the beam strengths by X₁,..., Xm and the cylinder strengths by Y₁,..., Y. Suppose that the Xi's constitute a random sample from a distribution with mean ₁ and standard deviation 0₁ and that the Y's form a random sample (independent of the X;'s) from another distribution with mean ₂ and standard deviation ₂. (a) Use rules of expected value to show that X - Y is an unbiased estimator of μ₁ - μ₂. O E(X)=√E(X) - E(Y) = μ₁ - H₂ ⒸE(XY) = E(X) - E(X) = 14₁ 14₂ O E(X-= E(X) - E(X) = 11 - 12 nm E(X - Y = nm(E(X) - E()) = μ₁ − 44₂ | E(X) = (E(X) - E(M)² = Calculate the estimate for the given data. (Round your…
An article in the Journal of Applied Polymer Science (Vol. 56, pp. 471–476, 1995) studied the effect of the mole ratio of sebacic acid on the intrinsic viscosity of copolyesters.- The data follows: Viscosity 0.45 0.2 0.34 0.58 0.7 0.57 0.55 0.44 Mole ratio 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 (a) Construct a scatter diagram of the data.
1. The 28-day compressive strength test data (in MPa) from the first 20 concrete cylinders from Assignment 10 are shown below: 60.5 60.9 59.8 53.4 56.9 67.3 68.9 49.9 57.8 60.9 61.9 67.2 64.9 63.4 60.5 68.1 68.3 65.7 61.5 60.0 Group 1 Group 2 Group 3 Using just these 20 tests, the overall mean strength is 61.89 MPa with sample standard deviation s is 5.045 MPa. Assuming the strengths are normally distributed, we want to solve for the one-sided 95% confidence limit on the standard deviation o. In other words, we know s based on our first 20 tests. We want to find o such that: (n-1)s² P[0² < = 1 − α = 0.95 using the x² Chi-squared distribution 2 Xn-1, 1-al (a) What is X-1, 1-a where n = 20 and a = 0.05? (b) What is the one-sided 95% confidence limit for o? 2. Data from a permeability test on sand gave the following gradient-flow rate results (this is a test that you will conduct in the Geotechnical laboratory course in spring of Junior year): gradient i 0.0 0.22 0.41 0.59 0.80 1.01 1.09…
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The following are the weight losses of certain machine parts due to friction (in milligrams) when used with three different lubricants: Lubricant 1: 13 11 10 13 Lubricant 2: 9. 11 Lubricant 3: 7 6. Test at the 0,01 level of significance whether the type of lubricant effects the weight loss of the machine parts due to friction. While carrying out the test, follow the steps below and answer the questions. 1- Determine the null and alternative hypotheses. Ho: H: 2-Fill in the following ANOVA Table. ANOVA Table Source of Variation Degrees of Freedom Sum of Squares Mean Sum of Squares Treatment Error Total 3-State your decision and conclusion.
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 416 420 421 422 425 428 432 435 437 439 445 446 449 451 458 462 464 (a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 460 420 430 440 450 460 420 430 440 450 Comment on any interesting features. (Select all that apply.) O There is little or no skew. V There are no outliers. O The data is strongly skewed. V The data appears to be centered near 438. The data appears to be centered near 428. There is one outlier. (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes No (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) O O
can you please help me solve sub-parts e, f, g
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.7 5.1 6.5 4.7 6.2 5.1 4.7 6.6 4.7 5.8 4.9 7.5 4.6 5.2 5.3 5.3 6.2 6.2 5.4 5.8 6.4 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 2 decimal places.)What are the degrees of freedom? (numerator) (denominator)
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.5 5.2 6.7 4.4 6.5 5.7 5.2 6.9 4.1 5.9 4.4 7.8 4.3 5.5 5.7 5.3 6.4 6.1 5.8 5.5 6.9 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 10% level of significance. (a) What is the level of significance? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = ? SSBET = ? SSW = ? Find d.f.BET, d.f.W, MSBET, and…

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