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) \(\chi ^ { 2 } \mathrm {~L} = 3.325 , \chi ^ { 2 } \mathrm { R } = 16.919 ; x ^ { 2 } < 3.325 , \chi ^ { 2 } > 16.919\)

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Definitions:

Dependent Variable

The variable being tested and measured in a scientific experiment, which is expected to change under different conditions brought about by the independent variable.

Directed Thinking

Thinking aimed at a particular goal.

Analogical Representation

An idea that shares some of the actual characteristics of the object it represents.

Automaticity

The ability to do a task without paying attention to it.