The Director of a Hospital Wishes to Estimate the Mean $\bar { x } = 19.8$

question 3

Multiple Choice

The director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, $\bar { x } = 19.8$ and $s ^ { 2 } = 4$ . If the director wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with $90 \%$ reliability, what is the minimum sample size she should use?

• A) 7
• B) 27
• C) 44
• D) 11

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Definitions:

DEPT-135

A specialized NMR spectroscopy technique used to differentiate between CH, CH2, and CH3 groups in molecules.

Quaternary

Refers to the fourth-order structure in chemistry or the presence of four different groups attached to a central carbon atom.

Proton Spin Decoupled

A technique used in NMR spectroscopy where the interaction between different hydrogen nuclei ("spin coupling") is removed, simplifying the spectrum.

NMR Spectra

The graphical representation obtained from nuclear magnetic resonance spectroscopy, which provides detailed information about the structure of molecules.