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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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