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

Question 86

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Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α α\alpha Two-tailed test, n=10,α=0.01\mathrm { n } = 10 , \alpha = 0.01 Find the critical x2x ^ { 2 } - valuevalues to test the claim σ26.8\sigma ^ { 2 } \neq 6.8 if n = 10 and α α\alpha = 0.01.


A) χ2 L=1.735,χ2R=23.589;χ2<1.735,χ2>23.589\chi ^ { 2 } \mathrm {~L} = 1.735 , \chi ^ { 2 } \mathrm { R } = 23.589 ; \chi ^ { 2 } < 1.735 , \chi ^ { 2 } > 23.589
B) χ2 L=2.088,χ2R=21.666;χ2<2.088,χ2>21.666\chi ^ { 2 } \mathrm {~L} = 2.088 , \chi ^ { 2 } \mathrm { R } = 21.666 ; \chi ^ { 2 } < 2.088 , \chi ^ { 2 } > 21.666
C) χ2 L=2.700,χ2R=19.023;χ2<2.700,χ2>19.023\chi ^ { 2 } \mathrm {~L} = 2.700 , \chi ^ { 2 } \mathrm { R } = 19.023 ; \chi ^ { 2 } < 2.700 , \chi ^ { 2 } > 19.023
D) χ2 L=3.325,χ2R=16.919;x2<3.325,χ2>16.919\chi ^ { 2 } \mathrm {~L} = 3.325 , \chi ^ { 2 } \mathrm { R } = 16.919 ; x ^ { 2 } < 3.325 , \chi ^ { 2 } > 16.919

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