Suppose a Sample of N = 50 Items Is Selected

question 143

Multiple Choice

Suppose a sample of n = 50 items is selected from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with μ = 6 ounces and σ = 2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample of size 15 is selected?

• A) The mean of the sampling distribution is 6 ounces.
• B) The standard deviation of the sampling distribution is 2.5 ounces.
• C) The shape of the sampling distribution is approximately normal.
• D) All of the above are correct.

---

Definitions:

Chain Argument

A form of argument that consists of a series of reasons leading to a conclusion, where each step is supported by the previous one.

Modus Ponens

A theoretical reasoning method where the initial statement is confirmed by the subsequent statement.

Inductive Argument

A method of logic where the arguments aim to provide substantial support for the conclusion's truth, rather than conclusive proof.

Valid Deductive Argument

A logical argument where, if the premises are true, the conclusion must also be true.