Clinical literature reports that the duration of a typical cold is roughly 18 da

Question

Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.

The researchers reported that the answers to this question were strongly right-skewed. The 95% confidence interval (6.9, 8.2) they obtained is.....?

1.  appropriate despite the skewed data because the sample size is large enough to rely on the robustness of the t procedures.
2.  not appropriate because the answers of all healthy adults in Georgia are likely not Normally distributed.
3.  not appropriate because the sample data are skewed.
4.  likely appropriate because the answers of all healthy adults in Georgia are likely to be Normally distributed given that this is such a large population.

Explanation / Answer

The researchers reported that the answers to this question were strongly right-skewed. The 95% confidence interval (6.9, 8.2) they obtained is because likely appropriate because the answers of all healthy adults in Georgia are likely to be Normally distributed given that this is such a large population.

Answer is option 4)

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