Q1. What is the z-score of the following values?
Q2. What are the percentiles for each z-score above?
Q3. You own a big apple tree farm and wondered how many apples each apple tree have on average.You counted the number of apples per apple tree for 25 trees to estimate the number per apple tree at your farm. You found that the mean number of apples per tree is 50 when the standard deviation is 10. What is 95 % confidence interval of the estimated number of apples per tree of your farm?
Q4. In the same situation with Q3, what is 99% confidence interval?
Q5. What do the answer from Q3 and Q4 mean? What is wider and why?
Q1. What is the z-score of the following values? x1=2.7 when M(x)=3, SD(x)=0.5 x2=2.8 when M(x)=3,...
samplex Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
q2 please find x1.x2.x3.x4 using matlab &73 3:45 zain JO 4ll ring Q1 a function with the name "Area Circumference" to calculate the area and circumference tput) of a rectangle. Define the inputs of this function as required. (6marks) rite a manuscript to solve the following system of equations based on [A][x] =[b)]. Find x1, x2, . (5 Marks) 2x1+ x2-3 +2x4 4 x1+5x2-3ax3 +604 -2x1 +5a2-2r3 +6x4= 4 4x1+11x2-4x3+8x4 = 5 Q3: Having f(x) = 3x6-13x2 + 2x, Integratef...
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inventory I$1000 X4- amount spent on advertising /$1000 X5 size of sales district/1000 families X6 number of competing stores in distric X1 X2 X3 X4 X5 X6 231 3 294 8.2 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3...
3. [20 marks] Consider the multinomial distribution with 3 categories, where the random variables Xi, X2 and X3 have the joint probability function where x = (zi, 2 2:23), θ = (θί, θ2), n = x1 + 2 2 + x3, θι, θ2 > 0 and 1-0,-26, > 0. (a) [4 marks] Find the maximum likelihood estimator θ of θ. (b) [4 marks] Find that the Fisher information matrix I(0) (c) [4 marks] Show that θ is an MVUE. (d)...
Let X have one of the following distributions: X H0 HA x1 .2 .1 x2 .3 .4 x3 .3 .1 x4 .2 .4 a. Compare the likelihood ratio, , for each possible value X and order the xi according to . b. What is the likelihood ratio test of H0 versus HA at level α = .2? What is the test at level α = .5? c. If the prior probabilities are P(H0) = P(HA), which outcomes favor H0? d....
Problem No-3 Implement the following two-level function using multi-level NOR gates: f(x1,X2.X3,X4,X5,X6,x7)=X1X«X5+X\X4X¢+> kaX4X6+X2X3X7 [9] Assume that logic gates have a maximum fan in of 2 and the input variables are available in uncomplemented form only (The number of gates required is shown in parenthesis).
Consider the following point estimators, W, X, Y, and Z of μ: W = (x1 + x2)/2; X = (2x1 + x2)/3; Y = (x1 + 3x2)/4; and Z = (2x1 + 3x2)/5. Assuming that x1 and x2 have both been drawn independently from a population with mean μ and variance σ2 then which of the following is true...Which of the following point estimators is the most efficient? A. Z B. W C. X D. Y An estimator is unbiased...
Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2 + 4x3 + 3x+ 550 (x5) 2x1 + 3x2 + x3 + 2x‘ S 20O (x7) R.S 4-6 -31 /4 3 1 550 700 200 0 o1 3 o 2 Z O 400 2/11 1/12/10 o 1/11 662 / ง 9 525 2 /20 425 2/ 25 1/2-1/10 13/20 1 0 。 3a. Read off the...
4. Setup: Suppose you have observations X1,X2,X3,X4,X5 which are i.i.d. draws from a Gaussian distribution with unknown mean μ and unknown variance σ2. Given Facts: You are given the following: 15∑i=15Xi=0.90,15∑i=15X2i=1.31 Bookmark this page Setup: Suppose you have observations X1, X2, X3, X4, X5 which are i.i.d. draws from a Gaussian distribution with unknown mean u and unknown variance o? Given Facts: You are given the following: x=030, =1:1 Choose a test 1 point possible (graded, results hidden) To test...
Use the following linear regression equation to answer the questions. x1 = 1.7 + 3.9x2 - 8.1X3 + 1.9x4 (a) Which variable is the response variable? O O O O Which variables are the explanatory variables? (Select all that apply.) o X3 O X4 Сх, (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant X2 coefficient Xz coefficient x4 coefficient (C) If x2 = 8, X3 = 3, and X4 = 1, what...