Use the Given Degree of Confidence and Sample Data to Find

question 107

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 daily intakes of milk (in ounces) for ten randomly selected people were: $\begin{array}{lllll}23.3 & 28.4 & 10.5 & 16.4 & 26.4\end{array}$
$\begin{array}{lllll}18.1 & 20.4 & 17.3 & 27.4 & 13.2\end{array}$

Find a $99 \%$ confidence interval for the population standard deviation $\sigma$ .

• A) \(3.66 \mathrm { oz } < \sigma < 12.53 \mathrm { oz }\)
• B) \(0.88 \mathrm { oz } < \sigma < 3.38 \mathrm { oz }\)
• C) \(3.78 \mathrm { oz } < \sigma < 13.95 \mathrm { oz }\)
• D) \(3.78 \mathrm { oz } < \sigma < 12.53 \mathrm { oz }\)

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Definitions:

Parkinson's Disease

A progressive neurological disorder that affects movement, causing tremors, stiffness, and difficulty with walking, balance, and coordination.

Neurotransmitter

Chemical substances in the brain that transmit signals across a synapse from one neuron to another, playing crucial roles in regulating bodily functions and psychological states.

Parkinson's Disease

A progressive neurological disorder marked by tremors, muscle rigidity, and slow, imprecise movement.

Synaptic Vesicles

Membrane-bound structures within neurons that contain neurotransmitters, which are released into the synaptic cleft during neural communication.