Suppose a Population Is Normally Distributed with a Mean 100

question 26

Essay

Suppose a population is normally distributed with a mean 100 and a standard deviation of 15. When a sample of size n = 36 is collected a sampling distribution is created. Explain which is larger: the probability of a value randomly selected from the population being larger than 120, or the probability of a sample mean being larger than 120.

---

Definitions:

Causation

The action of causing something, in philosophy and science, referring to the relationship between cause and effect.

Negative Effect

A typo; assuming "Effect" should be "Affect" refers to a dimension of mood involving negative emotions and bad feelings. If "Effect" as written, NO.

Body Weight

A measure of an individual's mass, usually considered in relation to height to assess health through indicators like BMI (Body Mass Index).

Reading Ability

The capacity to understand, interpret, and derive meaning from written words.