Math Solutions

[Solution Library] Find the following t-values a) t_0.05 for 5 df b) t_0.025 for 8 df , , c) t_0.10 for 9 df d) t_0.025 for 12df , , Find the critical value(s)

Question: Find the following t-values

\[\begin{aligned} & a)\,\,{{t}_{0.05\,\,}}\,for\,\,5\,\,df\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,{{t}_{0.025\,\,}}for\,\,8\,\,df \\ & \\ & c)\,{{t}_{0.10\,\,}}\,for\,\,9\,\,df\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,d)\,{{t}_{0.025}}\,for\,12df \\ & \\ & Find\,\,the\,\,critical\,\,value\left( s \right)\,of\,t\,\,that\,\,specify\,\,the\,\,rejection\,\,region\,.\,\, \\ & e)A\,two-tailed\,\,test\,with\,\alpha =0.01\,\,and\,\,n\,\,=\,\,19 \\ & \\ & f)A\,right-tailed\,\,test\,with\,\alpha =0.05\,\,and\,\,n\,\,=\,\,21 \\ & \\ & g)\,A\,left-tailed\,\,test\,with\,\alpha =0.01\,\,and\,\,df\,\,=\,\,14 \\ \end{aligned}\]

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