SS 6.15. Control charts for x and R are to be established tocontrol the tensile strength of a metal part. Assumethat tensile strength is normally distributed. Thirtysamples of size n = 6 parts are collected over aperiod of time with the following results:3030Στ = 6,000 and Σκi=1i=1= 150a. Calculate control limits for x and R.b. Both charts exhibit control. The specifications ontensile strength are 200 ± 5. What are your con-clusions regarding process capability?

Given that the tensile strength is normally distributed. Thirty samples of size, parts are…

Answered: 6.15. Control charts for x and R are to…

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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Electromagnetic technologies offer effective nondestructive sensing techniques for determining characteristics of pavement. The propagation of electromagnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article "Dielectric Modeling of Asphalt Mixtures and Relationship with Density," was used to relate y = dielectric constant to x = air void (%) for 18 samples having 5% asphalt content. x 4.35 4.75 5.57 5.20 5.07 5.79 5.36 6.40 5.66 5.90 6.49 5.70 6.49 6.37 6.51 7.88 6.74 7.14 y 4.55 4.49 4.50 4.47 4.48 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.35 4.44 4.40 4.26 4.32 4.34 Suppose it had previously been believed that when air void increased by 1 percent, the associated true average change in dielectric constant would be less than -0.064. Does the sample data support this belief? Carry out a test of appropriate hypotheses using a significance level of 0.05. State the appropriate null and alternative…
An artide n the ACI Materials Journal (vol. 84, 1987, po. 213-216) describes several experiments investigating the rodding of concrete to remove trapped ar. Amch 6-inch cylinder was used, and the number of tumes this rod was used is the design variable The resulting compressive strength of the concrete specimen is the response. The data are shown n the following table. s the Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 150 1730 1530 25 1500 1490 1510 Calculate the test statistic fo Input answer up to 2 decimal places. Test StatisticfBlank 1 Blank 1 Add your answer
We investigate if a period of time feels longer orshorter when people are bored compared to whenthey are not bored. Using independent samples,we obtain these estimates of the time period (inminutes):Sample 1 (bored): X =14.5, s2x =10.22, n =28Sample 2 (not bored): X =9.0, s2x =14.6, n =34(a) What are H0and Ha? (b) Compute tobt. (c) Witha .05, what is tcrit? (d) What should we conclude about this relationship? (e) Using our twoapproaches, how important is boredom in determining how quickly time seems to pass? part f: compute the 95% confidence interval
2. Measurements were taken for entropy and enthalpy changes for many salts under a variety of water + methanol of NaCl (table salt) for several concentrations of methanol. Four independent conditions. The following table presents the results for enthalpy of transfer (in kJ/mol) from water to measurements were made at each concentration. Concentration (%) Enthalpy 1.62 1.60 1.62 1.66 5 10 20 30 2.69 2.66 2.72 2.73 3.56 3.45 3.65 3.52 3.35 3.18 3.40 3.06 a. Construct an ANOVA table in Excel. (8 points) b. Is it plausible that the enthalpy is the same at all concentrations? Explain. (4 points) No, brause the value is very low c. Use the Fisher LSD method to find a 95% confidence interval for the difference between the means for concentrations 5 and 30. Show your work. (12 points) d. Compute the quantity s = √MSE, the estimate of the standard deviation σ. (2 points)
The following table represents collected data from literature regarding the inelastic axial capacity (Pn) of Aluminum symmetric profiles as a function of the Area of the section and the Slenderness Ratio (SR) of the bar. Produce a linear model for the capacity in the form Pn= C1 X Area + C2 X SR, show the statistics of the linear model on this paper. Use your linear model to predict Pn for the case of Area= 200 and SR = 35. Produce a 95% confidence interval for your expected value of Pn at Area=200mm2 and SR=35. Find the maximum possible Pn and the minimum possible Pn based on 95% confidence limits of the parameters. Suggest how to improve your model by saying which one of the two factors must be treated nonlinearly and show why you think so! (give at least one direct reason) Area (mm2) SR (-) Pn (kN) 198.3 16 1273 216.3 89 136.5 228 94 129 184.3 83 133.8 220.1 99 112.3 166.7 33 765.4 201.5 70 205.6 219.8 53…
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An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.14 kgf/cm2 for the modified mortar (m 42) and y = 16.89 kgf/cm2 for the unmodified mortar (n 30). Let and be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the %D bond strength distributions are both normal. (a) Assuming that = 1.6 and o, 1.3, test Ho: Hy-H2 O versus H: µ, - µ, > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds…

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