Construct Confidence Intervals for a Mean Response
-In Order for a Company's

question 72

Multiple Choice

Construct Confidence Intervals for a Mean Response
-In order for a company's employees to work at a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Construct a $95 \%$ confidence interval about the mean value of $\mathrm { y }$ , given $\mathrm { x } = 2.5 , \mathrm { y } = 6.91 \mathrm { x } + 46.26$ , and $\mathrm { s } e = 4.578$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Number of years, } \mathrm{x} & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \\\hline \text { Grades on test, } \mathrm{y} & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72\end{array}$

• A) \(( 58.28,68.79 )\)
• B) \(( 51.50,75.57 )\)
• C) \(( 55.12,87.34 )\)
• D) \(( 47.32,72.13 )\)

Understand the control equation and its components to assess the need for action.

Acknowledge the challenges in measuring performance effectively.

Appreciate the importance of measurement accuracy in the control process.

Explore the benefits of benchmarking and best practices in control and performance improvement.

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Definitions:

Population Size

The total number of individuals or units in the group that a study or statistical analysis is concerned with.

Marketing Segmentation

The process of dividing a market into distinct subsets of consumers with similar needs or characteristics, allowing for targeted marketing strategies.

Different Groups

Distinct categories or clusters in which data points are divided based on specific characteristics or treatments.

Confidence

The feeling of trust or belief in someone or something; in statistics, it refers to the degree to which one can be certain in the accuracy of a result.