The Principal of a Middle School Claims That Test Scores $\sigma = 14.7$

question 31

Multiple Choice

The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$ .

• A)
• \(\begin{array}{l}
• H_{0}: \sigma=14.7 \\
• H_{1}: \sigma<14.7
• \end{array}\)
• B)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma=14.7 \\
• \mathrm{H}_{1}: \sigma>14.7
• \end{array}\)
• C) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma<14.7 \\
• \mathrm{H}_{1}: \sigma>14.7
• \end{array}\)
• D)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma>14.7 \\
• \mathrm{H}_{1}: \sigma \leq 14.7
• \end{array}\)

---

Definitions:

Finish Defects

Imperfections or flaws that appear on the surface of products during or after the manufacturing process, affecting the product's aesthetics or functionality.

Lower Control Limit

A statistic used in process control charts to signify the lower threshold below which a process is considered to be out of control.

Defect Rate

The proportion of manufactured items that do not meet the prescribed quality standards.

Control Chart Limits

the pre-determined upper and lower boundaries on a control chart within which a process is considered to be in control and performing as expected.