8. Use Table 5 to find critical value ( s ) for the following. Assume that the samples are random and independent, the populations are normally distributed, and that population variances are equal. H : ? ? ?, ? = 0.10, n = 11, n = 14 (mean sub one does not equal mean sub two. H : ? > ?, ? = 0.01, n = 12, n = 15 (mean sub one is greater than mean sub two.)
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Second, we need to understand that the critical value for a two-tailed test is found by dividing the significance level by 2, and then looking up the critical value for each tail. For a one-tailed test, the entire significance level is used to find the critical Show more…
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Use Table 5 in Appendix $B$ to find the critical value(s) for the alternative hypothesis, level of significance $\alpha,$ and sample sizes $n_{1}$ and $n_{2}$. Assume that the samples are random and independent, the populations are normally distributed, and that the population variances are (a) equal and (b) not equal. $$H_{a}: \mu_{1}>\mu_{2}, \alpha=0.01, n_{1}=12, n_{2}=15$$
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Use Table 5 in Appendix $B$ to find the critical value(s) for the alternative hypothesis, level of significance $\alpha,$ and sample sizes $n_{1}$ and $n_{2}$. Assume that the samples are random and independent, the populations are normally distributed, and that the population variances are (a) equal and (b) not equal. $$H_{a}: \mu_{1}<\mu_{2}, \alpha=0.10, n_{1}=30, n_{2}=32$$
Use Table 5 in Appendix $B$ to find the critical value(s) for the alternative hypothesis, level of significance $\alpha,$ and sample sizes $n_{1}$ and $n_{2}$. Assume that the samples are random and independent, the populations are normally distributed, and that the population variances are (a) equal and (b) not equal. $$H_{a}: \mu_{1} \neq \mu_{2}, \alpha=0.10, n_{1}=11, n_{2}=14$$
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