The value of Young’s modulus (GPa) was determined forcast plates consisting of certain intermetallic substrates,resulting in the following sample observations (“Strengthand Modulus of a Molybdenum-Coated Ti-25Al-10Nb-3U-1Mo Intermetallic,” J. of Materials Engr.and Performance, 1997: 46–50):116.4 115.9 114.6 115.2 115.8a. Calculate x and the deviations from the mean.b. Use the deviations calculated in part (a) to obtain thesample variance and the sample standard deviation.c. Calculate s2 by using the computational formula forthe numerator Sxx.d. Subtract 100 from each observation to obtain a sampleof transformed values. Now calculate the samplevariance of these transformed values, and compare itto s2 for the original data.

The article "Oxidation State and Activities of Chromium Oxides in Cao-SiO,-CrO, Slag System" (Y. Xiao, L. Holappa, and M. Reuter, Metallurgical and Materials Transactions B, 2002:595-603) presents the amount x (in mole percent) and activity coefficient y of CrO,5 for several specimens. The data, extracted from a larger table, are presented in the following table. х У 2.6 10.20 5.03 19.9 8.84 0.8 6.62 5.3 2.89 20.3 2.31 39.4 7.13 5.8 3.40 29.4 5.57 2.2 7.23 5.5 2.12 33.1 1.67 44.2 5.33 13.1 16.70 0.6 9.75 2.2 2.74 16.9 2.58 35.5 1.50 48.0 Compute the least-squares line for predicting y from x. b. Plot the residuals versus the fitted values. Compute the least-squares line for predicting y from 1/x. d. Plot the residuals versus the fitted values. C. Using the better fitting line, find a 95% confidence interval for the mean value of y when x= 5.0.

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…

2:54 PM 65% 4 ll T-Mobile Wi-Fi ? Done 8 of 17 M ao M OF e eK O RG O a EsJ O 4 OeE C stdert deres poemtectietybildarstudentBo7est0826a0cbdogladescreariex-13 a Onteuren Cene. Caatesiny she. O Empiyt Center Ltn Saon . Uustet: i = Unit 4. Lesson 10: Estimaling Proportions from Samples Seling ssene O Ekyr in O a Tan. Pa Partae.. Next e A compary produces 1,000 blue crayons overy day. A sample of 50 crayons are analyzed, anu 3 of thern are found to not meet lne standards of the company, so they are laboled defective. A simulation is run in which 50 crayons ara chosan out of 1,0C0 so that sach crayen chosen has a 6% chance çi boing defective. The simulation is run 500 tirnes, and the mean proportion of defoctivo crayons is 0.059 vath a standard deviatlon of 0.012. 13 of 14 What is a good margin of error based on this simulation? Based on a popuation proportion estimate and margin of error, is 0.07 a plausible valle for the papuation proportion of urayors that are defoctive? Explain your…