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4. The intensity of light reflected by an object is measured. Suppose there are two types of possible objects, A and B. If the object
4. The intensity of light reflected by an object is measured. Suppose there are two types of possible objects, A and B. If the object is type A, the measurement is normally distributed with mean 100 and standard deviation 25, if it is of type B, the measurement is normally distributed with mean 125 and standard deviation 25. A single measurement is taken and it is X = 120. (a) Suppose that a rule has been formulated that declares the object to be of type B if X > 125 when testing the null hypothesis that the object is of type A vs. type B. What is the significance level associated with this rejection region? (b) What is the power of this test
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