A Sample of N = 16 Scores Is Selected from a Normal

question 31

Short Answer

A sample of n = 16 scores is selected from a normal population with µ = 60 and σ = 20.
A)What is the probability that the sample mean will be greater than 50?
B)What is the probability that the sample mean will be less than 56?
C)What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p(55< X < 65)?

• A)What is the probability that the sample mean will be greater than 50?
• B)What is the probability that the sample mean will be less than 56?
• C)What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p(55< X < 65)?

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Definitions:

Solve

To find an answer or solution to a mathematical problem or equation.

Simplify

The process of making something less complex or easier to understand.

Simplify

A mathematical process of making an equation, expression, or problem easier to solve or understand by eliminating complexity.

Simplify

The act of making an equation or expression easier to work with by reducing its complexity.