10-54. O An article in the Journal of Aircraft (1986, Vol. 23, pp. 859–864) described a new equivalent plate analysis method formulation that is capable of modeling aircraft structures such as cranked wing boxes and that produces results similar to the more computationally intensive finite element analysis method. Natural vibration frequencies for the cranked wing box struc- ture are calculated using both methods, and results for the first seven natural frequencies follow: Equivalent Plate, Cycle/s Finite Element Freq. Cycle/s 14.58 14.76 2 48.52 49.10 3 97.22 99.99 4 113.99 117.53 5 174.73 181.22 6 212.72 220.14 7 277.38 294.80 (a) Do the data suggest that the two methods provide the same mean value for natural vibration frequency? Use a = 0.05. Find the P-value. (b) Find a 95% confidence interval on the mean difference between the two methods.

The article "Electrical Impedance Variation with Water Saturation in Rock" (Q. Su, Q. Feng, and Z. Shang, Geophysics, 2000:68–75) reports measurements of permeabilities (in 10-3um?), porosities (in percent), and surface area per unit volume of pore space (in 104 cm -1) for several rock samples. The results are presented in the following table, denoting In Permeability by y, porosity by x1, and surface area per unit volume by x2. y -0.27 х, 19.83 X2 9.55 2.58 17.93 10.97 3.18 21.27 31.02 1.70 18.67 28.12 -1.17 7.98 52.35 -0.27 10.16 32.82 17.86 13.48 -0.53 57.66 -0.29 21.10 4.94 17.49 9.15 1.94 14.18 11.72 3.74 23.88 5.43 0.58 10.52 20.03 -0.56 18.92 13.10 -0.49 18.55 12.78 -0.01 13.72 40.28 -1.71 9.12 53.67 14.39 11.38 -0.12 26.75 -0.92 75.62 2.18 16.59 9.95 4.46 16.77 7.88 2.11 18.55 88.10 -0.04 18.02 10.95 Fit the model y = 6, + B,X1 + B>x2 + B3x;xX2 + ɛ. Compute the analysis of variance table. a. b. Fit the model y = Bo + B;X1 + B2X2 + ɛ. Compute the analysis of variance table. c.…

Q.2. Because of potential variability in aging due to different castings and segments on the castings, a Latin square design with N=7 was used to investigate the effect of heat treatment on aging. With A= castings, B = Σχ = 297,216.90, segments, C = heat treatments, summary statistics include x... = 3815.8, Σχ = 297,155.01, and 297,200.64, = 297,317.65. Obtain the ANOVA table and test at level .05 the hypothesis that heat treatment has no effect on aging.

The article "Polyhedral Distortions in Tourmaline" (A. Eril, J. Hughes, et al., The Canadian Mineralogist, 2002 153-162) presents a model for calculating bond-length distortion in vanadium-bearing tourmaline. To check the accuracy of the model, several calculated values (x) were compared with directly observed values (y) The results (read from a graph) are presented in the following table. Observed Value Calculated Value 0.33 0.36 0.36 0.36 0.54 0.58 0.56 0.66 0.64 0.64 0.66 0.67 0.74 0.58 0.74 0.78 0.79 0.86 0.97 0.97 1.11 1.03 110 1.06 1.13 1.08 114 117 Assume that the observed value y is an unbiased measurement of the true value. Show that if the calculated value x is accurate (ie., equal to the true value), then y = x+ , where e is measurement error. a. b. Compute the least-squares line y= Show that if the calculated value is accurate, then the true coefficients are , = Oand e, Â, + Â,x- C. =1. d. Test the null hypotheses e,-0 and e, = 1. Is it plausible that the calculated value…

Please help me with this problem and i needed only part d and e only please.... Very urgent

Can you please work out part a and b for question 11?

#3) Rockwell hardness testing is an indentation testing method. The indenter used is either a spheroconical diamond or a hard steel ball. An experiment was designed to determine if different brands of conical diamond tips used for Rockwell hardness testing of AISI 1018 mild/low carbon steel yield different hardness readings. Two different brands of diamond tips were used to find the hardness on a sample of mild/low carbon steel, the hardness readings (RC) are given below: IT Brand 1 Brand 2 70 72 70 72 71 72 71 71 70 72 70 73 70 Is there a difference in the variability between the two different brands?

22.) Using the parameter estimates in the JMP output, is there a problem with multicollinearity?                   YES                  NO                CANNOT ASSESS Justification:   What other method(s) may be used to assess multicollinearity?

The article "Influence of Freezing Temperature on Hydraulic Conductivity of Silty Clay" (J. Konrad and M. Samson, Journal of Geotechnical and Geoenvironmental Engineering, 2000:180–187) describes a study of factors affecting hydraulic conductivity of soils. The measurements of hydraulic conductivity in units of 108 cm/s (y), initial void ratio (x), and thawed void ratio (x2) for 12 specimens of silty clay are presented in the following table. y 1.01 1.12 1.04 1.30 1.01 1.04 0.955 1.15 1.23 1.28 1.23 1.30 0.84 0.88 0.85 0.95 0.88 0.86 0.85 0.89 0.90 0.94 0.88 0.90 X1 0.81 0.85 0.87 0.92 0.84 0.85 0.85 0.86 0.85 0.92 0.88 0.92 X2 Fit the model y = Bo + fix1 + e. For each coefficient, test the null hypothesis that it is equal to 0. Fit the model y = Bo + Bzx2 + e. For each coefficient, test the null hypothesis that it is equal to 0. Fit the model y = Bo + BzX1 + Bzxz + e. For each coefficient, test the null hypothesis that it is equal to 0. d. Which of the models in parts (a) to (c) is…

Imagine you would like to estimate the effect of the amount of rainfall in a given month in a region on the number of cars that were caught speeding in that region in a given month.  You have data on both variables for multiple months. For this estimation, you can write down the error term of the econometric model as . a) What kind of factors are captured in ? Give a general explanation and one example of such a factor in the specific context described above.  b) What kind of factors are captured in ? Give a general explanation and one example of such a factor in the specific context described above.