Use the Given Degree of Confidence and Sample Data to Find

question 72

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation ?.
Assume that the population has a normal distribution. Round the confidence interval limits to one more decimal place than is used for the original set of data.
-The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were:
$$\begin{array} { c c c c c } 7 & 9 & 13 & 6 & 7 \\5 & 9 & 5 & 15 & 13\end{array}$$
Find a $95 \%$ confidence interval for the population standard deviation $\sigma$ .

• A) \(0.8 \mathrm {~min} < \sigma < 2.4 \mathrm {~min}\)
• B) \(2.4 \mathrm {~min} < \sigma < 6.0 \mathrm {~min}\)
• C) \(2.5 \mathrm {~min} < \sigma < 6.0 \mathrm {~min}\)
• D) \(2.5 \mathrm {~min} < \sigma < 6.6 \mathrm {~min}\)

---

Definitions:

Japanese Concept

A philosophy or practice originating from Japan, often applied to management, manufacturing, or cultural approaches.

User Applies

The process by which individuals utilize and implement tools, knowledge, or systems to achieve specific tasks.

Client Specification

Detailed requirements provided by a client regarding the desired features and standards for a project or product.

Resources

Assets, materials, or inputs used in the process of achieving goals or completing projects, including human skills, technology, and financial assets.