A Sample of Size 400 Is Drawn from a Population $P ( \bar { x } < 4,990 )$

question 52

Short Answer

A sample of size 400 is drawn from a population whose mean and variance are 5,000 and 10,000,respectively.Find the following probabilities:
A) $P ( \bar { x } < 4,990 )$ ____________________
B) $P ( 4,995 < \bar { x } < 5,010 )$ ____________________
C) $P ( \bar { x } = 5,000 )$ ____________________

• A) \(P ( \bar { x } < 4,990 )\) ____________________
• B) \(P ( 4,995 < \bar { x } < 5,010 )\) ____________________
• C) \(P ( \bar { x } = 5,000 )\) ____________________

---

Definitions:

Decision-Making

The method of selecting options through recognizing a decision, collecting data, and evaluating different solutions.

Representativeness Heuristic

Bases a decision on similarities between the situation at hand and stereotypes of similar occurrences.

Stereotypes

Oversimplified and generalized beliefs about a group of people that often do not reflect reality.

Programmed Decisions

Decisions that are made following established guidelines or procedures, typically for routine and recurring situations.