If Selecting Samples of Si $\mathrm { n } = 10$

question 63

Multiple Choice

If selecting samples of si $\mathrm { n } = 10$ from a population with a known mean and standard deviation,what requirement, if any, must be satisfied in order to assume that the distribution of the sample means is a normal distribution?

• A) The population must have a standard deviation of 1.
• B) The population must have a normal distribution.
• C) None; the distribution of sample means will be approximately normal.
• D) The population must have a mean of 0.

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Definitions:

Acceptable Assumptions

The premises that are considered reasonable and are accepted without requiring empirical evidence, often used as a foundational basis in arguments or theories.

Random Sampling

A method of selecting a sample from a population in such a way that each individual has an equal probability of being chosen, ensuring the representativeness of the sample.

Equal Chance

The principle that in a certain process, event, or situation, all outcomes or participants have the same probability or likelihood of occurring or being selected.

Correlation

A statistical measure that expresses the extent to which two variables change together; if the correlation is positive, as one variable increases, the other does as well.