Suppose a Sample of N = 50 Items Is Selected

question 11

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 the above are correct.

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Definitions:

Probability Assignment

Probability assignment is the process of allocating probabilities to the outcomes of a random experiment, ensuring that the total probability across all outcomes equals one.

Legitimate

Genuine, conforming to established rules, standards, or laws.

Statistics Class

An educational course focused on the study and application of statistical methods and analysis.

Probability

Estimating the chances of an event manifesting.