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.  

Which of the following is the correct interpretation for this confidence interval?

a. There is a 95% chance that the mean duration of another random sample from this population would be between 6.9 and 8.2 days.

b. There is a 95% chance that a randomly selected individual from this population would give a response between 6.9 and 8.2 days.

c. We are 95% confident that the sample mean duration is between 6.9 and 8.2 days.

d. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.

Explanation / Answer

confidence interval quantifies the certainity of decision .

hence the correct choice is

we are 95% confident that the sample mean duration is between 6.9 and 8.2 days

choose option C

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