Suppose the Ages of Students in Statistics 101 Follow a Skewed-Right

question 131

Multiple Choice

Suppose the ages of students in Statistics 101 follow a skewed-right distribution with a mean of 23 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?

• A) The mean of the sampling distribution is equal to 23 years.
• B) The shape of the sampling distribution is approximately normal.
• C) The standard error of the sampling distribution is equal to 0.3 years.
• D) The standard deviation of the sampling distribution is equal to 3 years.

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Definitions:

Allocate

The process of distributing resources or goods among various uses or individuals based on specific criteria, such as need or merit.

Marginal Change

A small incremental adjustment to a plan of action.

Incremental Adjustment

Small, gradual changes or modifications made in response to changing conditions or to improve a process or system.

Scarcity

A fundamental economic problem of having seemingly limitless human wants in a world of limited resources, leading to the necessity of making trade-offs.