A Theorem That Allows Us to Use the Normal Probability

question 67

Multiple Choice

A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the

• A)approximation theorem
• B)normal probability theorem
• C)central limit theorem
• D)central normality theorem

Utilize formulas for the mean and standard deviation to solve practical problems involving multiple independent variables.

Derive and apply the formula for the standard deviation of a random variable defined by a linear transformation.

Analyze the distribution of outcomes in probability scenarios to calculate expected values and variability.

Interpret the effects of linear transformations on the mean and standard deviation in a given context.

---

Definitions:

Unsuccessful Experiment

A term that refers to an attempt or trial that did not yield the intended or expected results.

Slavery Prohibition

Refers to laws or regulations enacted to abolish the practice of forcing individuals to work against their will without proper compensation.

Slave Codes

Laws that were established in the colonial and antebellum South to define the status of slaves and codify the denial of basic civil rights to enslaved people.

Interracial Marriages

Marriages between individuals of different racial backgrounds, which have historically faced legal and social challenges.