0 1 0.35 0.26 X p(x) (a) Find P(X ≤ 2) (b) Find P(X > 1) (c) Find μx (d) Find o 2 3 0.19 0.11 4 0.09
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Computer chips often contain surface imperfections.
For a certain type of computer chip, the
probability mass
x | 0 | 1 | 2 | 3 | 4 |
P(x) | 0.35 | 0.26 | 0.19 | 0.11 | 0.09 |
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- Need help with parts e through f. I have already found the following: SST: 2,844 SSM: 1,922 SSR: 2,680.3047619047625 SSE: 163.69523809523753 SSTm: 158 SSRm: 964.9714285714293 The least square estimate for b: [2.19047619, 3.79047619, -1] estimate for σ2: 10.9130133333 Test statistic F(R): 81.8687646893 Currently stuck on how to test H0 : b = 0 against H1 : b ≠ 0 and constructing the 90% confidence interval. The given design matrix X is 18x3, has full rank of 3, so we have 18 observations.pls answer d,e,f and pls draw the critical region (d) write on paper pls and dont use excelPork is the most preferred meat by a lot of meat consumers. Studies have shown that diets high in pork protein have favorable effects on a person's body composition. However, it is unclear whether these effects are specific to pork or whether consumption of other high protein meat diets have the same benefit. To investigate this, the nutritionist of a private diet center chose a random sample of overweight clients to participate in a 3-month program where each person is required to follow a restricted high-protein diet program with only one type of meat (chicken, fish, or pork). Before and after the program, the triglyceride level and weight of each client were recorded. Suppose the nutritionist asks your statistical advice for this study. 1. The nutritionist wants to study whether the mean change in triglyceride level of the clients differs among the three meat diets. She then asked your statistical advice considering that you have enough knowledge that using a parametric test…
- A graduate student did a material coupon test for a new material and obtained the stress-strain data to develop a material model. However, due to measurement noise, the data reported in the table below is not clean. i 1 0.005 113 0.01 199 3 0.015 245 4 0.02 319 5 0.025 355 6 0.03 383 0.035 419 8 0.04 488 9 0.045 530 10 0.05 536 Thus the supervisor asks the graduate student to perform a regression analysis assuming the following model form: o = Ee" Note: Please keep at least 2 significant digits/figures after the decimal point for E and B (e.g., input 0.33 for 1/3, 1.13 for 1.127551). E = B = Note: Please keep at least 4 significant digits/figures after the decimal point for R (e.g., input 0.3333 for 1/3, 1.1276 for 1.127551). R-squared value R2= R? = 1-Cider cans are filled by filling equipment. Assume, that the volume of fluid in a can is a random variable with a normal distribution. Volume in ml: 327 326 337 326 333 325 331 324 Find the value below which the variance will be found with 99% confidence. Hi! Iam trying to solve by using "the upper limit of the right-hand confidence interval for the parameter σ2 of the normal distribution":(n-1)s2/X2Where I find the value for X2 which is assumin to table 24.322 s2 is my calculations 41.143and n-1 is 7 because we have 8 values in table. My answer is differnt from refence answer. Where am I doing mistake?Please be more specific in explanation, so I can better understand the topic.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…
- In the following table, price of a used car is given in terms of the percentage of the car's original price. Want to estimate price of a used car based on its mileage and age. Find the best linear fit to minimize the 2-norm of the approximation error. Age Mileage Percent of Original Price 1 5000 90 2 10000 85 2 15000 80 3 15000 75 34 20000 75 20000 70 4 30000 65 55 30000 60 40000 50.List a strength or weakness for each of the following analysis techniques: 1.Fold Change 2.Parametric (e.g., ANOVA, t-test) 3.Non-parametric (e.g., Wilcoxon Rank-Sum) 4.Resampling (e.g., Bootstrapping, Permuting)The article "Effect of Microstructure and Weathering on the Strength Anisotropy of Porous Rhyolite" (Y. Matsukura, K. Hashizume, and C. Oguchi, Engineering Geology, 2002:39- 17) investigates the relationship between the angle betwween cleavage and flow structure and the strength of porous rhyolite. Strengths (in MPa) were measured for a mumber of specimens cut at various angles. The mean and standard deviation of the strengths for each angle are presented in the following table. Angle Mean 0° 22.9 Sample Size Standard Deviation 2.98 12 15° 22.9 1.16 30° 19.7 3.00 45° 14.9 2.99 60° 13.5 2.33 75° 11.9 2.10 90 14.3 3.95 6. Can you conclude that strength varies with the angle?
- Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. %3D Everest climbers (summit 29,028 feet). (units: mm Hg/10) (units: mm Hg/10) 7.3 4.6 4.2 3.3 2.1 42.4 31.7 26.2 16.2 13.9 (a) Verify that Ex = 21.5, Ey = 130.4, Ex = 107.39, Ey = 3944.74, Exy = 648.03, andr 0.969. Σχ 21.5 %3D %3D Ey 130.4 Ex2 | 107.39 Ey2 3944.74 Exy 648.03 r0.9686 (b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) t 6.79 critical t 1.6377 Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is…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…5. The compressive strength of concrete (in kg/m) is being tested b y two civil engineers. The first engineer tests ten specimens and obtains the following data: 2000 2100 2050 2150 2200 2050 2000 2100 2250 2000 While the following data is obtained by the second engineer who tests eight specimens: 2000 2200 2050 2150 2250 2100 2250 2150 The compressive strength of concrete is assumed to be normally distributed. Construct a 90% confidence interval for the ratio of standard deviation of compressive strength of all concretes.[(0.505,1.757) [ref:T2S20708] 6. A new teaching method to improve the failing rate if English SPM papers is being considered. The existing and new teaching method were applied to samples of students so as to determine whether the new teaching method improves the proportion of students who failed in their English papers. 1425 of 1500 students who were taught based on the existing teaching method and 1920 of 2000 students who were taught based on the new teaching method…