Use the Given Degree of Confidence and Sample Data to Construct

question 15

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution.
-The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: $\begin{array} { l l l l l } 7.0 & 10.8 & 9.5 & 8.0 & 11.5 \end{array}$
$\begin{array} { l l l l l } 7.5 & 6.4 & 11.3 & 10.2 & 12.6 \end{array}$
Determine a $95 \%$ confidence interval for the mean time for all players.

• A) \(10.93 \mathrm {~min} < \mu < 8.03 \mathrm {~min}\)
• B) \(11.03 \mathrm {~min} < \mu < 7.93 \mathrm {~min}\)
• C) \(7.93 \mathrm {~min} < \mu < 11.03 \mathrm {~min}\)
• D) \(8.03 \mathrm {~min} < \mu < 10.93 \mathrm {~min}\)

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Definitions:

Sampling Error

The discrepancy between the statistical characteristics of a sample and those of the entire population, arising purely from the randomness of the sample selection.

Dummy Variables

Variables used in regression analysis to represent categorical data by assigning numerical values, typically 0 or 1, to represent the presence or absence of certain characteristics.

Categorical Variable

A variable that represents groups or categories, which are not numerical.

Regression Equation

An equation that describes the average relationship between a dependent variable and one or more independent variables.