A Sample of 41 Light Bulbs Had a Mean Lifetime $95 \%$

question 96

Multiple Choice

A sample of 41 light bulbs had a mean lifetime of 599 hours. A $95 \%$ confidence interval for the population mean was $593.8 < \mu < 604.2$ .
Which one of the following statements is the correct interpretation of the results?

• A) None of these are true.
• B) The probability that the population mean is between 593.8 hours and 604.2 hours is 0.95.
• C) 95% of the light bulbs in the sample had lifetimes between 593.8 hours and 604.2 hours
• D) We are 95% confident that the mean lifetime of all the bulbs in the population is between 593.8 hours and 604.2 hours.

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Definitions:

Points

The fundamental units of geometry, having no size, depth, or length, used to indicate positions in space.

Linear Inequalities

Algebraic inequalities similar to linear equations, but involving inequalities signs, and represent conditions that variables must satisfy.

Graph

A visual representation of data or mathematical functions using a coordinate system, often to illustrate relationships between variables.

Linear Inequalities

Mathematical statements involving linear expressions that utilize inequality symbols to compare the expressions.