Assume That the Data Has a Normal Distribution and the Number

Multiple Choice

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
-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.

A) $\begin{array}{l}\mathrm{H}_{0}: \sigma \leq 3.3 \mathrm{mg} \\\mathrm{H}_{1}: \sigma>3.3 \mathrm{mg}\end{array}$

B) $\begin{array}{l}\mathrm{H}_{0}: \sigma=3.3 \mathrm{mg} \\\mathrm{H}_{1}: \sigma \neq 3.3 \mathrm{mg}\end{array}$

C) $\begin{array}{l}\mathrm{H}_{0}: \sigma \neq 3.3 \mathrm{mg} \\\mathrm{H}_{1}: \sigma=3.3 \mathrm{mg}\end{array}$

D) $\begin{array}{l}\mathrm{H}_{0}: \sigma \geq 3.3 \mathrm{mg} \\\mathrm{H}_{1}: \sigma<3.3 \mathrm{mg}\end{array}$