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Discuss the reason that sampling distribution of the mean follow a normal distribution for a large enough sample size, even though the population may not be normally distributed? Please discuss in detail. Discuss how a sample size, n, an increase in confidence is achieved by widening the confidence interval. With regard to hypothesis testing about two means, what is the distinction between two independent populations and two related populations? Please be specific in your answer. In a one-way ANOVA, what is the difference between among-group variation and between-group variation? Discuss the assumptions of ANOVA? Please list and elaborate on each answer. Explain the null hypothesis (Ho) for a simple linear regression equation? Please list and explain in detail.

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