Find the Critical Value and Rejection Region for the Type $\alpha$

question 86

Multiple Choice

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha$ Two-tailed test, $\mathrm { n } = 10 , \alpha = 0.01$ Find the critical $x ^ { 2 }$ - valuevalues to test the claim $\sigma ^ { 2 } \neq 6.8$ if n = 10 and α $\alpha$ = 0.01.

• A) \(\chi ^ { 2 } \mathrm {~L} = 1.735 , \chi ^ { 2 } \mathrm { R } = 23.589 ; \chi ^ { 2 } < 1.735 , \chi ^ { 2 } > 23.589\)
• B) \(\chi ^ { 2 } \mathrm {~L} = 2.088 , \chi ^ { 2 } \mathrm { R } = 21.666 ; \chi ^ { 2 } < 2.088 , \chi ^ { 2 } > 21.666\)
• C) \(\chi ^ { 2 } \mathrm {~L} = 2.700 , \chi ^ { 2 } \mathrm { R } = 19.023 ; \chi ^ { 2 } < 2.700 , \chi ^ { 2 } > 19.023\)
• D) \(\chi ^ { 2 } \mathrm {~L} = 3.325 , \chi ^ { 2 } \mathrm { R } = 16.919 ; x ^ { 2 } < 3.325 , \chi ^ { 2 } > 16.919\)

---

Definitions:

Adult Levels

refers to stages of development or achievement that are typical of or expected in adulthood, in various aspects such as cognitive or physical abilities.

Face Perception

The cognitive process that involves the recognition and interpretation of human faces, allowing individuals to identify others, assess emotions, and interpret social cues.

Schematic Human Face

A simplified representation of a human face, typically used in psychology to study recognition, perception, and infant development.

Exogenous Eye Movements

Eye movements initiated by external stimuli, such as moving objects or changes in the visual field, rather than by internal thought processes.