Use the Partial Table Below to Find the P-Value That $\underline{\text { Standard Score and Percentiles for a Normal Distribution }}$

question 15

Multiple Choice

Use the partial table below to find the P-value that corresponds to the standard z-score, and determine whether the
alternative hypothesis is supported or not supported at the 0.05 significance level. $\underline{\text { Standard Score and Percentiles for a Normal Distribution }}$
$\begin{array}{rlrlll}\underline{Z }&\underline{ \% }\ &\underline{ Z }& \underline{\% }&\underline{Z }& \underline{\%}\\ -3.5 & 0.02 & -1.0 & 15.87 & 1.5 & 93.32 \\-3.0 & 0.13 & -0.5 & 30.85 & 2.0 & 97.72 \\-2.5 & 0.62 & 0.0 & 50.00 & 2.5 & 99.38 \\-2.0 & 2.28 & 0.5 & 69.15 & 3.0 & 99.87 \\-1.5 & 6.68 & 1.0 & 84.13 & 3.5 & 99.98\end{array}$

- $\mathrm { z } = - 2.5$ for $\mathrm { H } _ { \mathrm { a } } : \mu < 22$

• A) \(0.0062\); supported
• B) \(0.9938\); not supported
• C) \(0.9938\); supported
• D) \(0.0062\); not supported

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Definitions:

Gravitational Equilibrium

A state in which the gravitational forces within a star are perfectly balanced by the outward push of pressure from fusion reactions in the star's core.

Utricle

The utricle is a part of the inner ear involved in detecting linear movements and the position of the head in relation to gravity, aiding in balance.

Saccule

Saclike cavity in the vestibule of the vertebrate inner ear; contains sensory receptors for gravitational equilibrium.

Exteroreceptors

External sensors in the body that detect stimuli from the outside world, such as light, sound, and touch.