Provide an Appropriate Response $95 \%$ Confidence Interval for the Population Mean

question 15

Multiple Choice

Provide an appropriate response.
-Construct a $95 \%$ confidence interval for the population mean, $\mu$ . Assume the population has a normal distribution. A random sample of 16 lithium batteries has a mean life of 645 hours with a standard deviation of 31 hours.

• A) \(( 628.5,661.5 )\)
• B) \(( 876.2,981.5 )\)
• C) \(( 531.2,612.9 )\)
• D) \(( 321.7,365.8 )\)

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Definitions:

Correlation Coefficient

A numerical measure that quantifies the degree and direction of relationship between two variables, ranging from -1 to 1.

Independent Variable

The variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Dependent Variable

The outcome variable in an experiment or study that is expected to change in response to manipulations of the independent variable.

Scatterplot

A graphical representation in which two variables are plotted along two axes, helping to show the relationship between them.