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3. Suppose we are studying a population with mean = 10 and standard deviation o Answer the following questions. a) What are the parameters

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3. Suppose we are studying a population with mean = 10 and standard deviation o Answer the following questions. a) What are the parameters (the mean and the standard deviation) of the sampling distribution of the same mean for samples of size n = 100? (2 marks) = 5. b) Suppose that the distribution of this population is right-skewed. What is the shape of the sampling distribution of the sample mean in a)? Explain. (2 marks) c) If the sample size n changes, do the parameters of the sampling distribution of the sample mean also change? Explain. (2 marks) d) Suppose we collect a sample of size n = 10 from this population. Under what condition is the sampling distribution of the sample mean normally distributed? (2 marks)

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