The Central Limit Theorem States That If the Population Is

question 2

Multiple Choice

The central limit theorem states that if the population is normally distributed, then the .

• A) mean of the population can be calculated without using samples
• B) standard error of the mean will not vary from the population mean
• C) sampling distribution of the mean will vary from sample to sample
• D) sampling distribution of the mean will also be normal for any sample size

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Definitions:

Beta (β)

In statistics, it often represents the probability of committing a Type II error, or in regression, it denotes the slope coefficients representing the change in the dependent variable for a one-unit change in the independent variable.

Hypothesis

A hypothesis is a proposed explanation or assumption for a phenomenon or a relationship between variables that can be tested through research and experimentation.

Null Hypothesis

The null hypothesis is a statement in statistics that suggests no significant effect or relationship exists in the population; it is the hypothesis that a statistical test aims to disprove.

Alternative Hypothesis

In hypothesis testing, the hypothesis that there is a significant difference between specified populations, which is considered if the null hypothesis is rejected.