Suppose a population M is normally distributed and 90% of observations for this distribution fall between...
Suppose a population M is normally distributed and 90% of observations for this distribution fall between 30 and 70.
Now, say a sample mean (M-hat) of sample size n = 10 is drawn from population M.
What are the parameters of the sample (mean and variance)? I'm guessing the mean would be M-hat = (30+70)/2 = 50. Is that correct? If not, what is the correct answer?
And what would the variance be?
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