A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the $\sigma = 3.3 \mathrm { mg }$ claimed by the manufacturer. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
A) There is sufficient evidence to support the claim that the standard deviation is different from $3.3 \mathrm { mg }$.
B) There is sufficient evidence to support the claim that the standard deviation is equal to $3.3 \mathrm { mg }$.
C) There is not sufficient evidence to support the claim that the standard deviation is different from $3.3 \mathrm { mg }$.
D) There is not sufficient evidence to support the claim that the standard deviation is equal to $3.3$ mg.

Question

Quizplus · Accepted Answer

The conclusion is that there isn't enough evidence to prove the researcher's claim that the standard deviation of acetaminophen in the tablets is different from 3.3 mg.

A Researcher Claims That the Amounts of Acetaminophen in a Certain