A population standard deviation is unknown, and a confidence interval for a mean is based on a small random sample from a normal population. Which distribution is normally used?
Correct answer: D. The Student t distribution
- A. The standard normal distribution
- B. The uniform distribution
- C. The chi-square distribution
- D. The Student t distribution
Explanation
When the population standard deviation is unknown and the sample is small, the Student t distribution accounts for the extra uncertainty from estimating that deviation. The standard normal distribution is appropriate when the population standard deviation is known or the sample is sufficiently large.
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