Use the Given Degree of Confidence and Sample Data to Find

question 20

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ.
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: $\begin{array} { l l l l l } 9 & 7 & 15 & 6 & 15 \end{array}$
$\begin{array} { l l l l l } 12 & 8 & 6 & 14 & 5 \end{array}$
Find a $95 \%$ confidence interval for the population standard deviation $\sigma$ .

• A) \(2.7 \mathrm {~min} < \sigma < 6.6 \mathrm {~min}\)
• B) \(2.7 \mathrm {~min} < \sigma < 7.2 \mathrm {~min}\)
• C) \(2.6 \mathrm {~min} < \sigma < 6.6 \mathrm {~min}\)
• D) \(0.8 \mathrm {~min} < \sigma < 2.4 \mathrm {~min}\)

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Definitions:

Referent

An object, concept, or situation to which a word, phrase, or symbol refers to or represents.

Social Influence

Social influence encompasses the changes in attitudes, beliefs, or behaviors among individuals due to the presence or actions of others, either directly or indirectly.

Compliance

The act of conforming to a request or demand, often as a result of explicit pressure or desire to fit in.

Obedience

The act of following orders or instructions from an authority figure, often studied in psychology to understand its social and moral implications.