Please answer the area of rejection, thank youu
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Please answer the area of rejection, thank youu
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- The decision rule for a Wilcoxon signed-rank test is always to reject H0 if W is greater than or equal to the critical value. True or False?Let y1,y2,...,y10 be a random sample from an exponential pdf with unknown parameter λ. Find the form of the Generalized Likelihood Ratio Test for H0: λ = λ0 versus H1: λ doesn't equal λ0. What integral would have to be evaluated to determine the critical value if α were equal to 0.05?What is/are the critical value/s?
- An industrial product is packaged in batches of units each. The number ofdefective units within each batch is unknown. Since checking whether aunit is defective or not is expensive, the quality control consists in selectingunits of the batch and obtaining an estimation of the number of defectiveunits within the batch. The batch is rejected if the estimated number ofdefective units exceeds . a. Find the moment estimator of the number of defective units within aparcel.b. If N=20, n=5, and among these units 2 of them are defective, is thebatch rejected?Compute the critical value z0.07 to two decimal places.Among six measurements of the boiling point of a sil-icon compound, the size of the error was 0.07, 0.03, 0.14, 0.04, 0.08, and 0.03◦C. Assuming that these data can belooked upon as a random sample from the populationof Exercise 55, use the estimator obtained there by themethod of moments to estimate the parameter θ.
- You are performing a right-tailed test.If α=.001α=.001, find the critical value, to four decimal places.zα=? You are performing a two-tailed test.If α=.005α=.005, find the positive critical value, to four decimal places.zα/2= ?What is the appropriate critical value for the following?It is known that the tensile strength of a plastic increases as a function of the time it is subjected to heat treatment. The table below shows the data of the plastic subjected to heat treatment. Determine these data by using the "lagrange interpolation" method by approximating the functions of the lagrange multipliers of L0 , L1 , L2 , L3 and L4 to a 4th order curve. Calculate the tensile strengths of 1.7321 and 2.2361 seconds for each lagrange factor in the function equations of the lagrange multipliers.