A Researcher Claims That the Amounts of Acetaminophen in a Certain

question 156

Multiple Choice

A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the $\sigma = 3.3$ mg claimed by the manufacturer.

• A) \( \mathrm { H } _ { 0 } : \sigma \neq 3.3 \mathrm { mg } \)
• \(\mathrm { H } _ { 1 } : \sigma = 3.3 \mathrm { mg } \)
• B) \(\mathrm { H } _ { 0 } : \sigma \leq 3.3 \mathrm { mg } \)
• \( \mathrm { H } _ { 1 } : \sigma > 3.3 \mathrm { mg } \)
• C)\(\mathrm { H } _ { 0 } : \sigma \geq 3.3 \mathrm { mg } \)
• \( \mathrm { H } _ { 1 } : \sigma < 3.3 \mathrm { mg } \)
• D) \(\mathrm { H } _ { 0 } : \sigma = 3.3 \mathrm { mg } \)
• \(\mathrm { H } _ { 1 } : \sigma \neq 3.3 \mathrm { mg } \)

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Definitions:

Statistical Inference

The method of applying data analysis techniques to infer characteristics of a base probability distribution.

Descriptive Statistics

Descriptive statistics refer to brief descriptive coefficients that summarize a given data set, which can be either a representation of the entire or a sample of a population.

Sample

A subset of a population chosen for measurement, observation, or questioning, to provide statistical information about the population.

Population

The entire group of individuals or instances about whom we are hoping to make conclusions in a statistical analysis.