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Given a sample, (.2), from a Gaussian distributed random variable X with mean #x+ variance o, and is not random; please answer the following

Given a sample, (.2), from a Gaussian distributed random variable X with mean #x+ variance o, and is not random; please answer the following questions. (a) What is the sampling distribution of sample observation 2? (b) What is the sampling distribution of sample observation ? (c) What is the sampling distribution of sample mean = x/n? (d) What is the sampling distribution of sample variance s =(-)/(n-1)? (e) What is the sampling distribution of (n-1)s/? (f) What is the sampling distribution of , as the sample size n is large enough?

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