Assume That the Data Has a Normal Distribution and the Number

question 19

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