A Sample Standard Deviation and Sample Size Are Given $\chi ^ { 2 }$

question 35

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$ -test to conduct the required hvpothesis test.
- $\mathrm { s } = 6 , \mathrm { n } = 10$
$\mathrm { H } _ { 0 } : \sigma = 7 , \mathrm { H } _ { \mathrm { a } } : \sigma \neq 7 , \alpha = 0.05$

• A)Test statistic: \(X ^ { 2 } = 6.612\), Critical values \(= 3.325,16.919\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { X } ^ { 2 } = 12.25\), Critical values \(= 2.700,19.023\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(X ^ { 2 } = 6.612\), Critical values \(= 2.700,19.023\). Do not reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(X ^ { 2 } = 12.25\), Critical values \(= 3.325,16.919\). Reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Cochlea

A spiral-shaped, fluid-filled inner ear structure that is crucial for sound transduction, leading to the perception of sound.

Vestibular Sac

A part of the inner ear involved in balance, helping to sense changes in head position and movement.

Auditory Canal

The part of the ear through which sound waves travel toward the eardrum, also known as the external auditory meatus.

Semicircular Canal

One of three fluid-filled tubes in the inner ear that play a key role in maintaining balance by detecting head movement and rotation.