Use the One-Standard-Deviation Chi-Square Interval Procedure to Obtain the Specified $\sigma$

question 34

Multiple Choice

Use the one-standard-deviation chi-square interval procedure to obtain the specified confidence interval for the population standard deviation $\sigma$ . Assume that the population has a normal distribution.
-The amounts (in ounces) of juice in eight randomly selected juice bottles are:
$\begin{array}{llll}15.3 & 15.3 & 15.8 & 15.2 \\ 15.4 & 15.3 & 15.9 & 15.2\end{array}$

Find a $98 \%$ confidence interval for the standard deviation, $\sigma$ , of the amounts of juice in all such bottles.

• A)\(0.20\) to \(0.76 \mathrm { oz }\)
• B) \(0.16\) to \(0.56 \mathrm { oz }\)
• C) \(0.17\) to \(0.64 \mathrm { oz }\)
• D) \(0.17\) to \(0.56 \mathrm { oz }\)

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Definitions:

Sustained Muscle Contraction

A continuous muscle contraction without relaxation, often due to persistent stimulation.

Tetanus

A bacterial infection characterized by muscle spasms, caused by the bacterium Clostridium tetani.

Threshold Stimulus

The minimum stimulus needed to cause a depolarization of the membrane and generate an action potential in excitable cells.

Muscle Fatigue

Muscle fatigue is the decline in ability of a muscle to generate force, often experienced after prolonged activity or strain.