2. Find the central moments µ, and Hi and also thecoefficients of Skewness and Kurtosis, for abinomial distribution.CS Scanned with CamScanner

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Answered: Find the central moments µ, and µ̟ and…

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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Use the following equations to perform calculations necessary to complete the CFU. Use the table below to calculate Z, skewness, and kurtosis. Use the table below to calculate Z, skewness, and kurtosis. X Z Z^3 Z^4 4 4 5 6 7 8 9 9 10 10 12 Ez^3 Ez^4 N = 11 Mean = 7.63 SD = 2.66 Calculate the skewness for the data above and Round to two decimal points.
Given the Z scores of: -1.5, 0.52, -1.0, 1.7 and 3.0: 1. Calculate the raw skewness and kurtosis scores for these data. 2. Calculate the standard error scores for skewness and kurtosis for these data. 3. Calculate the Z scores for skewness and kurtosis for these data.
Regression methods were used to analyze the data from a study investigating the relationship between roadway surfaee temperature (X) and pavement deflecetion (y). Temperature Deflection 70 0.621 77 0.657 72.1 0.64 72.8 0.623 78.3 0.661 74.5 0.641 74 0.637 72.4 0.630 75.2 0.644 76 0.639 72.7 0.637 67.8 0.627 76,6 0.652 73.4 0.63 70.5 0.627 72.1 0.631 71.2 0.641 73 0.631 72.7 0.634 17.4 0.638
A machine generates rectangular tiles with randomly varying length (L) and width (W). Let the length follow L ~Gamma(100,10) distribution and the width follow W ~Gamma(50,10) distribution, and define the area of the tile as S = L × W, and its perimeter as Q = 2(L+W). For parts (a-c) below, assume the length and width are independent (i.e. LI W). (a) Show that the expected value of the area is E[S] = 50. (b) Show that the variance of the area is Var[S] = 75.5. (c) Use Chebyshev's inequality to find an upper bound on P(S > 75). For parts (d,e) below, assume the length and width are correlated with Corr(L, W) = -0.5. (d) Show that the expected value of the area is E[S] ~ 49.64645. (e) Find the mean and variance of the perimeter: E[Q] and Var[Q].
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x = 6.4, y = 6.0, r=-0.233, P-value = 0.104, and ŷ= 7.88 -0.292x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x = 4. Use a 0.01 significance level. The best predicted value of y when x = 4 is (Round to one decimal place as needed.)
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…
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.257, P-value=0.072, and y=7.92−0.300x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=3. Use a 0.05 significance level. The best predicted value of y when x=3 is? (Round to one decimal place as needed.)
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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Find the central moments µ, and µ̟ and also the coefficients of Skewness and Kurtosis, for a Sinomial distribution.