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Given that the probability density function is f(x)= theta*x^(theta-1)for testing parameter theta: Ho: theta = 1 and H1: theta = 2, the likelihood fuction is given by L= theta^2 * (x_1)^(theta-1) * (x_2)^(theta-1), the likelihood function under H1: L = 4(x_1)*(x_2), and the power of the test is 1-beta= .114 :
Find the most powerful test with significance level alpha = 5% to test Ho: theta = 2 against Ha: theta = 1.
How does the nature of the test statistic and rejection region for the most powerful test change if the Ha is changed to Ha: theta = 4.
If test results over long period of time illustrate that 5% of x values are over 2.1 pounds and 5% are under 1.9 pounds, determine mean and standard deviation for population of products produced with this process?
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q1.in a recent study of 250 female freshmen showed that 70 did not want to work after marriage. find the 95 confidence
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