See answer: Section II: Free Response Show all your work. Indicate clearly the methods
Chapter 8, Problem T8.12(choose chapter or problem)
Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.
How many people live in South African households? To find out, we collected data from an SRS of 48 out of the over 700,000 South African students who took part in the CensusAtSchool survey project. The mean number of people living in a household was 6.208; the standard deviation was 2.576.
(a) Is the Normal/Large Sample condition met in this case? Justify your answer.
(b) Maurice claims that a 95% confidence interval for the population mean is \(6.208 \pm 1.96 \frac{2.576}{\sqrt{47}}\). Explain why this interval is wrong. Then give the correct interval.
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