- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 5. Sampling and Estimation
- Subject 5. Confidence Intervals for the Population Mean and Selection of Sample Size

###
**CFA Practice Question**

When constructing confidence intervals for a normally distributed population, the t-distribution is used when ______

B. the sample size is less than 30, regardless of the population standard deviation.

C. the population standard deviation is unknown and the sample size is less than 30.

A. the population standard deviation is known.

B. the sample size is less than 30, regardless of the population standard deviation.

C. the population standard deviation is unknown and the sample size is less than 30.

Correct Answer: C

The t-distribution is used to compensate for σ being unknown and small sample size.

###
**User Contributed Comments**
2

User |
Comment |
---|---|

Shaan23 |
I guess its the most correct but in the notes it says to use the t-test if the poplulation is normally distributed and the variance unknown IRRESPECTIVE of sample size. |

praj24 |
If we know the population SD then we're able to find the population variance. Hence, C. |