We Draw a Random Sample of Size 36 from a Population

question 46

Multiple Choice

We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean is 27, what is a 95% confidence interval for the population mean?

• A) [25.8567, 28.1433]
• B) [26.0405, 27.9595]
• C) [26.8100, 27.1900]
• D) [26.8401, 27.1599]

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Definitions:

Nonsampling Error

Nonsampling Error refers to inaccuracies in survey or experiment results caused by factors other than the sample selection, such as data collection and processing errors.

Sampling Error

The discrepancy between the estimated population parameter and the actual population parameter due to the sample not being a perfect representation of the population.

Probability Distribution

A mathematical representation that outlines all possible outcomes and their probabilities for a random variable within a specified scope.

Sample

A subset of individuals, items, or events from a larger population used to draw conclusions about that population.