Use the Given Degree of Confidence and Sample Data to Find

question 4

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 the same number of decimal places as the sample standard deviation.
-Weights of eggs: 95% confidence; n = 22, $\bar { x }$ = 1.65 oz, s = 0.47 oz

• A) \(0.38 \mathrm { oz } < \sigma < 0.63 \mathrm { oz }\)
• B) \(0.37 \mathrm { oz } < \sigma < 0.61 \mathrm { oz }\)
• C) \(0.36 \mathrm { oz } < \sigma < 0.65 \mathrm { oz }\)
• D) \(0.36 \mathrm { oz } < \sigma < 0.67 \mathrm { oz }\)

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Definitions:

Manipulated Variables

Variables in an experiment that are changed or controlled by the researcher to observe their effect on the dependent variable.

Measured Variables

Variables in a study that are quantified or labeled based on empirical observation or experiment.

Independent Variable

The factor in a study that is deliberately changed by the investigator to see how it influences the outcome variable.

Statistically Significant Interaction

An interaction between variables that leads to a difference in outcomes which is unlikely to be due to chance alone, according to statistical analysis.