As the Sample Size $n$ Increases, the Shape of the Distribution of the Sample Means

question 49

Short Answer

As the sample size $n$ increases, the shape of the distribution of the sample means taken with replacement from a population with mean $\mu$ and standard deviation $\sigma$ , will approach a normal distribution. This distribution will have a mean of $\mu$ and a standard deviation of $\frac { \sigma } { \sqrt { n } }$ . This is a statement of the___________

---

Definitions:

Temporal-Based Suggestion

Recommendations or advice given that are influenced by or specifically relevant to time-based factors or periods.

Implies

Suggests or indicates something without expressing it directly, often used to convey underlying meanings or intentions.

Logical Reasoning

The process of using a rational, systematic series of steps based on sound mathematical procedures and given statements to arrive at a conclusion.

Presentation Constructed

A prepared display or lecture aimed at informing or persuading an audience, meticulously organized beforehand.