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- zions Management Spring21 Time left 1:09:43 In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the R chart? O a. 0,31.17 O b. 0,28.17 O c. 0,29.17 O d. None is correct O e. 0,24.71 O f. 0,30.47. NEXT PAGE a Type here to search27. Show that for a set of values of a continuous variable the sum of the absolute values of the deviation from the median is minimum.Please send me answer within 10 min!! I will rate you good for sure!! Please provide an explanation of your solution!!
- Please help :(Q2. (a) Suppose that X B(n=10, p) and consider the point estimate. Let us consider = X as 12 a point estimate of p. X an unbiased point estimate of p? Justify your answer. 12. i) Is p =- X What is the mean square error of p= 12 ii) b) Suppose that, E(X)= E(Y)= µ, Var(X)= 4, and Var(Y) = 6. What value of p minimizes the variance of u= pX +(2- p)Y? .Find the MSE of û. MAT361SSFinSp22.docxThe distribution of certain test scores is a nonstandard normal distribution with a mean of 80 and a standard deviation of 9. What are the values of the mean and a standard deviation after all test scores have been standardized by converting them to z-scores using z=(x-µ)/σ? A) The mean is 100 and the standard deviation is 10 B) The mean is 0 and the standard deviation is 1 C) The mean is 1 and the standard deviation is 0 D) The mean is 10 and the standard deviation is 100
- 3. Let Y, < Y2 < Y, be the order statistics of 3 independent observations from a distribution with 20th percentile n0.2 = 5. Find P(Y, <5). %3D4. We wish to learn the relationship between ranks and variate values via an empirical study. Let X1,..., Xn R1,..., R, be the ranks of X1,..., Xn, i.e., R; = rank(X;), i = 1,..., n. Please simulate data X1,..., X,n, with n = 100, and four types of distributions of X, X ~ X ~xỉ, X - N (0, 1), X ~ Bin(5,0.9), respectively; for each distribution of X, compute the Pearson "product-moment" sample correlation coefficients Pi, p2 and ps as follows: i.i.d. X, where X has a continuous C.D.F. and E(X?) < oo. Let Unif (0, 1), 1 (a) pi using {(X;, R;) : i = 1,..., n}; (b) p2 using {(Xi, Ri+1) : i = 1,..., n – 1}; (c) Pz using {(X;, R;-1) : i = 2,..., n}. Please summarize your results and conclusion.5. S Jn Show that the 95 percent fiducial limits for the mean of the population are x ± to.05, where to.05, stands for the value of t at 5 percent level of significance. Deduce that for a random sample of 16 values with mean 41.5 inches and the sum of the squares of the deviations from the mean 135 (inches)² and drawn from a normal population, 95 percent fiducial limits for the mean of the population are 39.9 and 43-1 inches.
- 33. If X is a normal variate with mean u and variance X- o? and P - b< .24. 65th Pg. 59, 1. 7. 19. * Find the of the distribution having pot F(x) = 1x1/4₂ Percentile where -a, < x < 2, f(x) = 0, elsewhere.Here is a bivariate distribution problem found in a popular textbook, what would be great is if someone can explain how to find the limits to derive CDF. attached are the problem details and steps,