I need Part (e) Carbonated Beverages. The U.S. Department of Agriculture reports

Question

I need Part (e)

Carbonated Beverages. The U.S. Department of Agriculture reports that the mean American consump tion of carbonated beverages per year is more than 52 gallons. From previous studies, it is known that the standard deviation of yearly American consumption of carbonated beverages is 20 gallons. A random sample of 30 Americans was taken and the sample mean of those 30 was found to be 69 gallons. (a) Estimate the true mean ? American yearly consumption of carbonated beverages with 90% (b) Is the report from the USDA that American consume more than 52 gallons per year feasible based (c) If we want to take another sample with a bound half as big as the one we calculated in part a, (d) Is there sufficient evidence that the mean consuption of carbonated beverages is significantly higher (e) Based on the results of the hypothesis test, what kind of error could have been made in context)? confidence. on the results of the CI? Briefly explain your answer what sample size should be taken to achieve that? than what the FDA recommends? Complete a hypothesis test; show all steps.

Explanation / Answer

(e) Here based on the results of the hypothesis, we could have made type II errro here as we would be able to reject the null hypothesis so there is only one possibility that null hypothesis is correct and we reject it falsely.

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