A Sample of Size 400 Is Drawn from a Population $\bar { X }$

question 5

Essay

A sample of size 400 is drawn from a population whose mean and variance are 5000 and 10 000, respectively. Find the following probabilities.
a. P( $\bar { X }$ < 4,990).
b. P(4995 < $\bar { X }$ < 5010).
c. P( $\bar { X }$ = 5000).

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Definitions:

Numerical

Relating to numbers or the use of numbers, typically involving data or quantities that can be measured or quantified.

Categorical Data

Data that represent characteristics and can be divided into groups or categories.

Quantitative Data

Numerical data that can be measured or counted and used for mathematical calculations and statistical analysis.

Sample Mean

The average value of a set of observations taken from a sample.