(d) According to ASTM C39 standard,the coefficient of variation of a givencompression test result for concretetesting must not exceed 3.2% for it tobe acceptable. Does the given resultsatisfy this requirement? SITUATION 1Consider the following results ofcompression test for twelve 28-dayconcrete cylinder samples from aparticular mix batch duringconstruction. (Note: The data areexpressed in psi. The minimum required28-day compressive strength ofconcrete for the particular constructionproject is 4000 psi).403141124063396539944002389542183780395440153940(a) Determine the mean and median ofthe given data.(b) Determine the range, standarddeviation, and coefficient of variation ofthe given data.(c) According to ACI 318 standard, theconcrete samples are adequately curedfor testing if the average strength of the

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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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Artificial hip joints consist of ball and socket. As the joint wears, the ball (head) becomes rough Investigators performed wear tests on metal artificial hip joints. Joints with several different diameters were tested. The Following table presents measurements of head roughness (in nanometers). Diameter Head Roughness 16 0.83 2.25 0.40 2.78 3.23 28 2.72 2.48 3.80 36 6.49 5.32 4.59 a. Because the design is unbalanced, check that the assumption of equal variances is by showing that the largest sample standard deviation is less than twice as large as the smallest one. b. Construct an ANOVA table. c. Can you conclude that the mean roughness varies with diameter? Use the a=0.01 level of significance.
In an experiment to investigate oxide charge, Qax on a silicon wafer. The factors thought to induce oxide charge, Qax are cleaning steps and the test location on the wafer where the charge was measured. The results summarized in Table 5. Table 5 Test Location Oxide Charge, Qox Cleaning Method Right (R) Left (L) (x 10" q/cm?) 1.66 R 1.62 1.90 Complete Spin-Rinse-Dry 1.84 1.92 R 1.84 L. -4.21 R -7.58 -1.35 By pass Rinse Cycle R -2.20 -2.08 R -5.36 Evaluate the significance of each factor using t-test. Show formulas and calculation steps of the statistical analysis method.
b) Civil engineers have developed a 3D model to predict the response of jointed concrete pavements to temperature variations. To check this model, they measured the change in traverse strain on six different occasions and compared this to the modelled values. The table below was obtained. Date Jul 25 Aug 4 Aug 16 - p-value, -58 69 35 Sep 3 -32 Oct 26 -40 Nov 3 -83 - conclusion, Percent Use the Summary output below to answer the following question Summary Output 4.4 (iii) Test whether the differences between the measurements are normally distributed. State your: - hypothesis, Ho Data are normally distributed HA Data are not normally distributed : - the test statistic, 99 - Decision (Reject, Retain), 95 90 80 70 60 50 40 30 20 Change in Strain Note for conclusion: -(if you think there is significant evidence data is normally distributed, enter 1) -(if you think there is significant evidence data is not normally distributed, enter O), Summary Output 4.4: 10 Field Measurement 5 1 -40…
Need help with (d) part. Thank you. statistical program is recommended. 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. y 4.55 4.49 4.50 4.47 4.47 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.33 4.44 4.40 4.26 4.32 4.34 x 4.35 4.79 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 7.08 The following R output is from a simple linear regression of y on x. Estimate Std. Error t value Pr(>|t|) (Intercept) 4.858691 0.059768 81.283 <2e-16 AirVoid −0.074676 0.009923 −7.526 1.21e-06 Residual standard error: 0.03551 on 16 DF Multiple…
Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered substantially the workplace standard. An article gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets having diameters smaller than 10 µm (mg/m³): 90 177 180 354 365 442 964 y 0.38 0.60 0.47 0.66 0.62 0.69 0.91 (a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy? shows a reasonable linear relationship. O No, a scatter plot does not show a reasonable linear relationship. (b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? (Round your answer to three decimal places.) (c) The investigators were particularly interested in…
Do the amount of RHA affect the compressive strength? How?
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Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. 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 H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.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 H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
Kindly answer only LETTERS C AND D. Please show your complete solution. You can use MS excel. Thank you.
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Consider the following results of compression test for twelve 28-day concrete cylinder samples from a particular mix batch during ostruction (Note: Th e data are on