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parametric distribution
2. Let observations X, , ,X be iid with a density function f. We would like to test for Ho :f=fo versus Hi : f关fo, where a form of fo is known. 2.1 Show that in this statement of the problem there are no most powerful tests. equivalent to testing the uniformity of f which the test is based. 2.2 Assume fo is completely known; prove that to test for Ho is 2.3 Research one test for normality and explain a principle on

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x1, x2, ..., xn be iid with density function. the test H0: f= f0 against H1: f not equal f0 is said to be most powerful test at level alpha iff

the power less than or equal to alpha and the power of the test is greater or equal to any other alpha level lest. But the statement does not say like this.

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