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Q2. A population is normally distributed with mean / and unit variance. We have a machine called g that operates on 10 inputs 21, ...,

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Q2. A population is normally distributed with mean / and unit variance. We have a machine called g that operates on 10 inputs 21, ..., Tio and produces an output as below: 10 g(1 1, 12, . . ., 10) = (-1) i-1 13 T10 = -m1+ + 2 3 10 Ten independent samples are taken from the population one after the other, and after operating g on them we observe a value of g - 8.5. Based on this observation we would like to test the following hypothesis: Ho : H = 3, H1 : 1 7 3

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