A Sample of 37 Light Bulbs Had a Mean Lifetime $579.2 < \mu < 588.8$

question 23

Multiple Choice

A sample of 37 light bulbs had a mean lifetime of 584 hours. A 95 % confidence interval for the population mean was $579.2 < \mu < 588.8$
Which one of the following statements is the correct interpretation of the results?

• A) None of these are true.
• B) 95 % of the light bulbs in the sample had lifetimes between 579.2 hours and 588.8 hours
• C) The probability that the population mean is between 579.2 hours and 588.8 hours is 0.95 .
• D) We are 95 % confident that the mean lifetime of all the bulbs in the population is between 579.2 hours and 588.8 hours.

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Definitions:

Persistent Failure

The ongoing inability to achieve success or meet objectives.

Long Term

Relating to or involving an extended period of time, typically emphasizing planning or thinking that takes into account the distant future rather than just immediate needs.

Z Problem-Solving Model

A decision-making framework that emphasizes a balanced view by considering multiple perspectives and sequenced steps to arrive at solutions.

Generate Alternatives

The process of developing multiple options or solutions to a problem or situation.