Exhibit 22-2 A Simple Random Sample of 43 Elements Has Been Selected

question 27

Multiple Choice

Exhibit 22-2
A simple random sample of 43 elements has been selected from a population of size 800. The sample mean is 500, and the sample standard deviation is 60.
-Refer to Exhibit 22-2. An approximate 95% confidence interval for the population total is

• A)482 to 517
• B)385,759 to 414,241
• C)400,000 to 500,000
• D)350,000 to 450,000

---

Definitions:

Estimated σ

Approximation of the standard deviation (σ), a measure of the dispersion or variation of a distribution.

Normal Probability Distribution

A bell-shaped probability distribution, also known as Gaussian distribution, that is fully defined by its mean and standard deviation.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, used to make inferences about the population.

Np

A term related to statistics, often referring to the expected number of successes in a Binomial distribution.