Find the likelihood function L(theta) and if needed the density function of the MLE. 2.2. Formulate the Neyman-Pearson test statistic. 2.3. Find the rejection region by finding the value of alpha = ?(???< k | Theta= Theta subscript0
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2.1. Find the likelihood
2.2. Formulate the Neyman-Pearson test statistic.
2.3. Find the rejection region by finding the value of alpha = ?(???< k | Theta= Theta subscript0).
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- Im having trouble to do the working. Kindly assist meAnswer the following questions about probability and statistics.To test H,: µ= 103 versus H1: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below. E Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. Yes, because n2 30. O B. No, because n2 30. OC. Yes, because the sample is random. O D. No, because the test is two-tailed. (b) If x = 99.9 and s = 5.7, compute the test statistic. The test statistic is to =. (Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. OA. OB. OC. (d) Approximate the P-value. Choose the correct answer below. O A. 0.005 < P-value < 0.01 O B. 0.0029. Zero-mean Gaussian random variables x and y have variance oz= 3 and o= 4 respectively and a y -1 correlation coefficient p = ing Write an expression for the joint density function.Pork 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…Answer only Question 27.1 Let X be a random variable with probability Si. 1= 1,2, 3, S(2) =10 elsewhere. Find the probability distribution of the random vari- able Y = 2X 1. 7.8 A dealer's profit, in units of $5000, on a new au- tomobile is given by Y = X², where X variable having the density function sa random S(z) =2(1 - 2), 01. Develop a random variate (composition method) generator for the random variable X with the probability density function where I represents the indicator function. 5 f(x)=e*I(x 0) 4 a. Implement this generator to generate 500 random variates. b. Compute the sample mean and sample variance of these 500 variates and compare with the theoretical values. c. Plot the histogram of these 500 variates and compare the histogram with the graph of f(x).2.70 Let X and Y be random variables with joint density function (4xy, 0< x,y< 1, f(x,y)= {0, elsewhere. Find the expected value of Z = √X² + y².An artide n the ACI Materials Journal (vol. 84, 1987, po. 213-216) describes several experiments investigating the rodding of concrete to remove trapped ar. Amch 6-inch cylinder was used, and the number of tumes this rod was used is the design variable The resulting compressive strength of the concrete specimen is the response. The data are shown n the following table. s the Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 150 1730 1530 25 1500 1490 1510 Calculate the test statistic fo Input answer up to 2 decimal places. Test StatisticfBlank 1 Blank 1 Add your answer1. The density function for random variable X is f(x). Find variance for the random variable X. Leave your answers as reduced fractions. f(x) = {16 x+0Please see attached statistical mathematics question. How to find the constant c so that the signi cance level is alpha = 0.05.and determine the power function of the test?SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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