at-the-0025alpha0025-significance-level-test-the-claim-that-1222-sigma12-leq-sig

Question

At the α=0.025\alpha=0.025 significance level, test the claim that σ12≤σ22 \$$sigma_1^2$$ \leq \$$sigma_2^2  $$for two normal populations. Sample data: s12=950, n1=9 $$s_1^2 = 950$$,\ $$n_1 = 9$$ ; s22=890, n2=8 $$s_2^2 = 890$$,\ $$n_2 = 8 . $$What is the correct conclusion?

Accepted Answer

Do not reject H0 $$H_0$$ ; not enough evidence that  \$$sigma_2^2$$ "\u003eσ12\u003eσ22 \$$sigma_1^2$$ \u003e \$$sigma_2^2  $$

Answer

Reject H0 $$H_0$$ ; there is evidence that  \$$sigma_2^2$$ "\u003eσ12\u003eσ22 \$$sigma_1^2$$ \u003e \$$sigma_2^2  $$

Answer

Reject H0 $$H_0$$ ; not enough evidence that  \$$sigma_2^2$$ "\u003eσ12\u003eσ22 \$$sigma_1^2$$ \u003e \$$sigma_2^2  $$

Answer

Do not reject H0 $$H_0$$ ; there is evidence that σ12σ22 \$$sigma_1^2  $$

At the α=0.025\(\alpha\)=0.025 significance level, test the claim that σ12≤σ22 \(\sigma\)_1^2 \(\leq\) \(\sigma\)_2^2 for two normal populations. Sample data: s12=950, n1=9 s_1^2 = 950,\ n_1 = 9 ; s22=890, n2=8 s_2^2 = 890,\ n_2 = 8 . What is the correct conclusion?

At the $alpha equals 0.025$ significance level, test the claim that $sigma sub 1 squared is less than or equal to sigma sub 2 squared$ for two normal populations. Sample data: $s_{1}^{2} = 950, n_{1} = 9$ ; $s_{2}^{2} = 890, n_{2} = 8$ . What is the correct conclusion?