Question: The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.

1. What is the value of the population mean? What is the best estimate of this value?
2. Explain why we need to use the t distribution. What assumption do you need to make?
3. For a 90 percent confidence interval, what is the value of t ?
4. Develop the 90 percent confidence interval for the population mean.
5. Would it be reasonable to conclude that the population mean is 63 pounds?

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