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A variable of a population has a mean of =83 and a standard deviation of =12. a. Identify the
sampling distribution of the sample mean for samples of size 36 . b. In answering part (a), what
assumptions did you make about the distribution of the variable? c. Can you answer part (a) if
the sample size is 25 instead of 36 ? Why or why not? a. What is the shape of the sampling
distribution? normal uniform skewed bimodal

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Sampling Distribution of Mean for Population Variable with Known Mean & SD

  • 1. A variable of a population has a mean of =83 and a standard deviation of =12. a. Identify the sampling distribution of the sample mean for samples of size 36 . b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 36 ? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed bimodal