3) The research wing of the Irish Food Board wants to estimate the country's mean yearly milk consumption. They sample 16 people and their analysis reveals that the mean yearly consumption is 45 gallons with a standard deviation of 20 gallons; the population distribution is assumed to be normal. 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% confidence interval, what is the value of t? 4. What is the margin of error? 5. Develop the 90% confidence interval for the population mean. 6. Would it be reasonable to conclude that the population mean is 48 gallons? Why or why not?

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