- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 5. Sampling and Estimation
- Subject 2. The Central Limit Theorem

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**CFA Practice Question**

A population is known to have a left skewed distribution with a mean of 400 and a standard deviation of 25. If a sample size of 50 is drawn at random from the population, the sampling distribution of the mean x-bar will be ______.

A. left skewed with a mean of 400

B. normally distributed with a mean of 400

C. left-skewed with a standard deviation of 25

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**User Contributed Comments**
5

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

danlan |
It's because of the central limit theorem |

samerthehammer |
Becauase the sample size is more than 30. |

zzhumanov |
All, sample with size 50 is drawn from population. it's means population more that 50, but it's left skewed. my question, can we assume if sample size >30 it's normal distribution? |

sh21 |
@ zzhmanov's question: yea, i would want to know that too |

ColonelCFA |
Yes anything greater than 30 can be assumed to approach a normal distribution. |