Given a random sample of size n from a Poisson population, use the method of maximum likelihood to obtain an estimator for the parameter λ
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Q: please answer asap will leave you good review Let Y1, . . . , Yn be an iid sample from N(μ, σ2),…
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A: x1 = 128, n1 = 247 x2 = 140, n2 = 311 α = 0.01 p^1= x1n1=128247=0.518219 p^2=x2n2=140311=0.450161…
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Given a random
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- A certain method was performed on a reference material. The method has a low RSD, but high relative error from the reference value. Which of the following are appropriate to solving the problem? a. Repeat the experiment with more trialsb. Re-assess the method to minimize random errorsc. Calibrate instruments used in the methodd. Compare the method with proven accurate methodsPlease answer the Q2 and Q3.The width of the confidence interval estimate of the population mean μ is a function of only two quantities: the population standard deviation σ and the sample size n
- A jar holds 25 cookies, 8 are chocolate-chip cookies, and 17 are brussel-spout-with-turnip-chips cookies. You pick 5 cookies at random. What is the probability that you get exactly 4 of the brussel-spout-with-turnip-chips cookies?When we consider a random sample of size n as X,..., X, which is from Binomial (n, 6). X+1 a. Is a biased estimator for the parameter 8? Is this estimator asymptotically unbiased? n+1 b. Find the mean squared error (MSE) of the estimator. Investigate its MSE consistency.Suppose you have a sample of size n, 1, 2, In, that follows a f(x) = (a + 1)rª: 0≤x≤1 distribution with parameter Q. Use the maximum likelihood method to find the estimator for the parameter C. www.
- Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance α, and sample sizes n1 and n2 Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Ha: μ1<μ2, α=0.025, n1=13, n2= 11 (a) Find the critical value(s) assuming that the population variances are equal. (b) Find the critical value(s) assuming that the population variances are not equal.Based on available data, the distribution function chosen to model particular data is fx(x) = λ e- λ x Given these three data points: 3.6, 5.5, and 3.8, use the Maximum Likelihood Estimation method to determine the value of λ to 3 decimal places.Conduct a test at the alphaαequals=0.010.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p 1 greater than p 2p1>p2. The sample data are x 1 equals 127x1=127, n 1 equals 248n1=248, x 2 equals 134x2=134, and n 2 equals 318n2=318.
- Determine if the conditions required for the normal approximation to the binomial are met. If so, calculate the test statistic, determine the critical value(s), and use that to decide whether there is sufficient evidence to reject the null hypothesis or not at the given level of significance. Ho :p = 0.85 H1 :p 0.85 p = 0.782 n= 128 a = 0.2 a. Calculate the test statistic. Round to two decimal places if necessary Enter 0 if normal approximation to the binomial cannot be used b. Determine the critical value(s) for the hypothesis test. Round to two decimal places if necessary Enter 0 if normal approximation to the binomial cannot be usedAssume that you want to estimate an unknown parameter by using a noisy received signal for which you know the mean value and the covariance matrix of the noise but not its probability density function (pdf). You also know that the relationship between the unknown parameter and the received signal is linear. Would you use the BLUE estimation method, or the Maximum Likelihood estimation method? Justify your answer.Using the t-table, find the critical value for a left-tailed test with an α = 0.05 for a sample size of 23.