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In: Statistics and Probability

a ) Set n=20 p=0.20. What is the mean and standard deviation according to the Central...

a ) Set n=20 p=0.20. What is the mean and standard deviation according to the Central Theorem for proportions? What is the mean and standard deviation?

b) Set n=100 p=0.20. What is the mean and standard deviation according to the Central Limit Theorem for Proportions? What is the mean and standard deviation?

In which of the above cases do you get a Normal distribution (with mean 0.2 and standard deviation equal to

sqrt(0.2 (1-0.2) / n) )? Why ?

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