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Posted by **Carol** on Wednesday, October 17, 2012 at 11:50am.

How do I go about determining if the sample data can be used to construct a confidence interval?

Example:

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette gave a mean nicotine content of 24.2 milligrams and standard deviation of 2.7 milligrams for a sample of n = 9 cigarettes.

- statistics -
**MathGuru**, Wednesday, October 17, 2012 at 6:58pmSince the sample size is small in your example, you would most likely need to use the t-distribution when constructing a confidence interval to account for the smaller sample size.

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