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Population mean of people

A survey was done and found that the best chocolate is dark chocolate. 29% of clients prefer dark chocolate. Stild Bakery conducted a sample of 100 clients who asked for chocolate.

- What is the probability that Stild Bakery's survey will produce a sample mean that is within 2% of the population mean of people who prefer dark chocolate?
- What is the probability that Stild Bakery's mean will show that 35% or more people prefer dark chocolate?
- What is the probability that Stild Bakery's mean will show that 20% or fewer people prefer dark chocolate?

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## Q : Random sample of size from a population

Let X1, X2 be a random sample of size 2 from a population X with E(X)=mu and V(X) = 36. Let T1 = (2X1 + X2)/3 and T2 = (3X1 - X2)/3 be two unbiased estimators for mu.