A Sample of 225 Elements from a Population with a Standard

question 17

Multiple Choice

A sample of 225 elements from a population with a standard deviation of 75 is selected. The sample mean is 180. The 95% confidence interval for μ is

• A) 105.0 to 225.0
• B) 175.0 to 185.0
• C) 100.0 to 200.0
• D) 170.2 to 189.8

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Definitions:

Test Statistic

A value calculated from sample data during hypothesis testing. It is used to decide whether to reject the null hypothesis.

Population Mean

The average value of a set of characteristics for an entire population.

Alpha

A threshold value in hypothesis testing that determines the level of significance, usually set to 0.05 or 0.01.

Type I Error

An error in hypothesis testing that occurs when the null hypothesis is wrongly rejected, falsely indicating a significant result.