When finding a confidence interval for a population mean based on a sample of size 8, which of the following assumptions is made?
A) The population standard deviation,, is known.
B) The sampling distribution of z is normal.
C) The sampled population is approximately normal.
D) There is no special assumption made.

Question

Quizplus · Accepted Answer

When finding a confidence interval for a population mean based on a sample of size 8, the assumption that is made is that the sampled population is approximately normal. This assumption is necessary in order to use the t-distribution, which is used when the population standard deviation is unknown and must be estimated from the sample. However, if the population is not approximately normal, then the t-distribution may not be appropriate, and other methods may need to be used.

When Finding a Confidence Interval for a Population Mean Based