sample x1=2, x2=3, x4=5 from iid Uniform(1,b). Find the maximum likelihood estimation of b
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sample x1=2, x2=3, x4=5 from iid Uniform(1,b). Find the maximum likelihood estimation of b
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- A random sample of 25 students obtained a mean of 78 and a variance of s2 = 15 on a college entrance exam in engineering. Assuming the scores are normally distributed, construct a 98% confidence interval of σ2Let x1, X2, ..., Xn be a random sample from a normal population with unknown mean u and an unknown variance o?. At a given significance level a, derive the generalized likelihood ratio test for Ho : o 5. versus Completely specify the test when a = population: 0.05 and n = 26. Does the power function of the test depend on the mean of the The following `answers" have been proposed. %3B 26 (a) For a = 0.05 and n = 26 the test rejects Ho when E(X; – X„)² > 941.25. The power function of the test indirectly depends on the population mean u via = 7. (b) For a = 0.05 and n = 26 the test rejects Ho when E(X; – Xn)² > 941.25. The power function of the test does not depend on the population mean µ. (c) For a = 26 ,26 0.05 and n = 26 the test rejects Ho when E(X; – Xn)² > 188.25. The power function of the test does not depend on the population mean µ. (d) For a = 0.05 and n = 26 the test rejects Ho when E(X; – X„)² > 188.25. The power function of the test indirectly depends on the population mean…This column contains data x1, . . . , xn, which is assumed to be a sample from a normal distribution N(µ, σ 2 ). For this sample, find the maximum likelihood estimates µˆ and σˆ.
- I am lost with the way im supposed to solve this question please help?please include all the steps. thank youThe time to failure (in hours) of a piece of equipment is uniformly distributed over (0, 1000) hours. (a) Determine the MTTF. (b) Determine the MTTF if preventive maintenance will restore the system to as good as new condition and is performed every 100 operating hours. (c) Compare the reliability with and without preventive maintenance at 225 operating hours. Assume the 100 hour maintenance interval and a maintenance-induced failure probability of 0.01 each time preventive maintenance is performed.
- A new method has been developed in the treatment of a disease. 12 randomly selected patients were treated with this method and the time until recovery was calculated as in the picture. Establish a confidence interval for the mass mean µ. (α=0.05)Fred recieved an SATV (SAT verbal) score of 610. For SATV scores we know u=500 and o=100 and that they are normally distributed. Calculate Fred's z-score. Also, what percentage of the population has higher and lower than Fred's Score?7