Ten Samples of N = 5 Were Collected to Construct $\overline { x ^ { * } }$

question 64

Multiple Choice

Ten samples of n = 5 were collected to construct an $\overline { x ^ { * } }$ chart. The sample mean and range for each sample are shown in the table below. $$\begin{array} { | c c c | c c c | } \hline \text { Sample } & \text { Mean } & \text { Range } & \text { Sample } & \text { Mean } & \text { Range } \\\hline 1 & 215 & 15 & 6 & 224 & 21 \\2 & 204 & 20 & 7 & 205 & 27 \\3 & 160 & 10 & 8 & 184 & 12 \\4 & 226 & 19 & 9 & 207 & 16 \\5 & 232 & 24 & 10 & 212 & 17 \\\hline\end{array}$$ Calculate the empirical centerline for the $\overline { x ^ { * } }$ chart.

• A)210.5
• B)206.9
• C)205.3
• D)208.2

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Definitions:

Perilymph

The fluid that is located in the space between the membranous labyrinth and the bone in the inner ear.

Statocyst

An invertebrate sense organ containing one or more granules (statoliths); senses gravity and motion.

Semicircular Canals

Structures in the inner ear that are crucial for maintaining balance and sensing head rotations.

Hair Cells

Sensory cells found in the inner ear that translate sound vibrations into electrical signals for the brain to interpret as sound.