An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middlerange:417 420 421 422 426 429 432 434 436439 446 446 450 451 456 461 465(a) Construct a boxplot of the data.420430440450460420430440450460420430440450460420430440450Comment on any interesting features. (Select all that apply.)The data appears to be centered near 428.There are no outliers.The data is strongly skewed.There is one outlier.O The data appears to be centered near 438.O There is little or no skew. (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)430.541445.60

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The following tableshows the typical depth (rounded to the nearest foot) for nonfailed wells in geological formations in Baltimore County (The Journal of Data Science, 2009, Vol. 7, pp. 111-127). Geological Formation Group Number of Nonfailed Wells Nonfailed Well Depth Gneiss 1,515 255 Granite 26 218 Loch Raven Schist 3,290 317 Mafic 349 231 Marble 280 267 Prettyboy Schist 1,343 255 Other schists 887 267 Serpentine 36 217 Total 7,726 2,027 Let the random variableX denote the depth (rounded to the nearest foot) for nonfailed wells. Detemine the cumulative distribution function for X. Round your answers to four decimal places (e.g. 98.7654). x< 217 217
You obtained the following raw data when setting up a Biuret standard curve: BSA (mg/ml) Absorbancy 540nm 0 0.158 1 0.210 2 0.260 3 0.305 4 0.360 5 0.410 6 0.455 7 0.510 8 0.530 9 0.550 10 0.554 What would the quality of the line-fit (R2 value) be if you do not exclude experimental outliers? (Give you answer to 4 decimal places)
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 420 422 423 426 429 432 435 436 439 446 447 448 452 459 463 464 (a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 460 420 430 440 450 460 420 430 440 450 460 Comment on any interesting features. (Select all that apply.) There are no outliers. There is little or no skew. There is one outlien The 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 ○ No Does the interval suggest that 451 is a…
The following table shows the typical depth (rounded to the nearest foot) for nonfailed wells in geological formations in Baltimore County (The Journal of Data Science, 2009, Vol. 7, pp. 111-127). Geological Formation Group Number of Nonfailed Wells Nonfailed Well Depth Gneiss 1,515 255 Granite 26 218 Loch Raven Schist 3,290 317 Mafic 349 231 Marble 280 267 Prettyboy Schist 1,343 255 Other schists 887 267 Serpentine 36 217 Total 7,726 2,027 Let the random variable X denote the depth (rounded to the nearest foot) for nonfailed wells. Detemine the cumulative distribution function for X. Round your answers to four decimal places (e.g. 98.7654). x < 217 217
Answer the following questions using the data provided in Table 1 Table 1. Problem sets for grain-size analysis Class Class Sample A interval interval Weight (g) (mm) (4) 0 to -1 1-0 1-2 1.06 0.5-1 4.11 0.25-0.5 2-1 9.87 0.125-0.25 3-2 4-3 18.37 0.062-0.125 4.31 pan pan 6.10 a) Calculate the weight of sediment trapped expressed as a percentage of the weight of the total sample and the "coarser than" cumulative weight percent. b) Construct a histogram for the samples. c) Construct cumulative curves, using (i) arithmetic and (ii) probability paper. d) Use the cumulative curve drawn on probability paper to calculate graphic statistical measures (i.e., median, mean, standard deviation, skewness, and kurtosis) and interpret the results. Put your results in Table 2. Results of grain-size analysis. Statistical Measure Results Interpretation Median Mean Standard deviation Skewness Kurtosis
15. (Percentile, median) The pth percentile of a sample is a number Q, such that at least p% of the sample values are smaller than or equal to Q, and also at least (100 – p)% of those values are larger than or equal to Q. If there is more than one such number (in which case there will be an interval of them), the pth percentile is defined as the average of the numbers (midpoint of that interval). In particular, Q50 is called the middle quartile or median and is denoted by r. Find for the sample in Table 24.2 (Sec. 24.3).
The determination of the shear strength of spot welds is relatively difficult, whereas measuring the weld diameter of spot welds is relatively simple. As a result, it would be advantageous if shear strength could be predicted from a measurement of weld diameter. The data are as follows: Shear strength (psi) Weld diameter (0.0001 in) 370 400 780 800 1210 1250 1560 1600 1980 2000 2450 2500 3070 3100 3550 3600 3940 4000 3950 4000 a) Test the hypothesis that the slope of the regression line is equal to 1 at the 0.05 level of significance.
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 421 422 423 426 429 431 434 436 439 445 446 448 453 455 463 464 (a) Construct a boxplot of the data. O 420 420 430 430 440 440 450 The data appears to be centered near 438. The data is strongly skewed. There is one outlier. 450 Comment on any interesting features. (Select all that apply.) There are no outliers. The data appears to be centered near 428. There is little or no skew. 460 420 420 430 430 (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes No 440 440 450 450 460 460 (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)
c)
Following are measurements of soil concentrations (in mg /kg) of chromium (Cr) and nickel (Ni) at20 sites in the area of Cleveland, Ohio. These data are taken from the article "Variation in NorthAmerican Regulatory Guidance for Heavy Metal Surface Soil Contamination at Commercial andIndustrial Sites" (A. Jennings and J. Ma, J. Environment Eng, 2007:587-609). Cr: 260 19 36 247 263 319 317 277 319 264 23 29 61 119 33 281 21 35 64 30Ni: 435 377 359 53 38 38 54 188 397 33 92 490 28 35 799 347 321 32 74 508 (a) Construct a histogram for each set of concentrations. (b) Find the 1st, 2nd and 3rd quartiles for the Cr concentrations (c) Find the 1st, 2nd and 3rd quartiles for the Ni concentrations.
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 418 420 422 422 425 428 431 434 437 438 445 446 449 451 458 462 465 (a) Construct a boxplot of the data. Comment on any interesting features. (Select all that apply.) The data appears to be centered near 438.There are no outliers.The data is strongly skewed.There is little or no skew.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? YesNo (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? YesNo Does the interval suggest that 456 is a plausible value? YesNo You…
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 420 421 422 426 427 432 434 437 438 446 447 450 452 457 463 464 (a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 420 430 440 450 460 420 430 440 450 460 Comment on any interesting features. (Select all that apply.) There is one outlier. n The data is strongly skewed. n The data appears to be centered near 428. n There are no outliers. n The data appears to be centered near 438. n There is little or no skew. (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes o 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 440 is a plausible value for true average degree of polymerization? o Yes o No Does the interval suggest that 456 is a…

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