The Following MINITAB Output Presents a 95% Confidence Interval Find the Sample Size Needed So That the 95% Confidence

question 19

Multiple Choice

The following MINITAB output presents a 95% confidence interval.

$\begin{array}{ccccc}\hline{\text { The assumed sigma }=10.2726} \\\text { Variable } & \mathrm{N} & \text { Mean } & \text { SE Mean } & 95 \% \mathrm{CI} \\\mathrm{x} & 46 & 48.611 & 1.5146 & (45.642,51.580) \\\hline\end{array}$

Find the sample size needed so that the 95% confidence interval will have a margin of error of 1.1.

• A) 472
• B) 579
• C) 19
• D) 336

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Definitions:

Mania

A mental state characterized by an abnormally elevated, expansive, or irritable mood, hyperactivity, and a reduced need for sleep, often seen in bipolar disorder.

Youth

The period between childhood and adult age, characterized by physical and psychological development.

Hypomania

A mild form of mania, characterized by heightened mood, energy, or irritability, but not severe enough to impede functioning.

Mania

A mental state characterized by extremely high energy, euphoria, elevated mood, or irritability, often associated with bipolar disorder.