Question

True or False? Sample means will be closer to the population mean if the sample is large. True or False? Sample means never make mistakes. True or False? Sample means make mistakes that quantifiable and measured by the standard deviation of the sample mean. True or False? If a variable is distributed Normally, the sample means are Normally distributed, even if the sample is small. True or False? If a variable is NOT distributed Normally, the sample means are never Normally distributed. If a variable is NOT distributed Normally, the sample means can be Normally distributed if the sample is ____ (small / large). Explain what this means in English: If x has an average μ and a standard deviation σ, and if the sample is large, then the sample mean x ̅~N(μ,σ/√n) I have a population with an average μ and a standard deviation σ. I’m going to draw a sample from that population. If the sample is large enough, that is, if n is large enough, The average of sample averages is the ____ ____. The ____ ____ of sample averages is σ/√n The distribution of the sample averages follows a ______ distribution.

Answer 1