[tex]Conditions:
\\ *Sample \ of \ thirty \ random \ adult \ men
\\ *Thirty \ adult \ men\ are \ independent
\\ *Thirty \ men \ are \ less \ than \ 10 \% \ of \ all \ adult \ men
\\ *Thirty \ is \ large \ enough \ by \ CLT \ to \ use \ t-dist
\\ \mu = True \ mean\ weight \ of \ adult \ men
\\ \\ t-dist \ curve \ must \ be \ drawn \ with \ center \ at \ 183 \ and \ the \ test
\\ statistic \ at \ 180, \ and \ 186 \ shade \ to \ the \ left \ and \ right
\\ H_0: \mu=183, H_a: \mu \neq 183
[/tex] [tex]t = \frac{180-183}{41/ \sqrt{30}} = -.401 \\ p = .692 \\ With \ a \ p-value \ of \ .692 \ \textgreater \ \alpha \ at \ .05, \ we \ fail \ to \ reject \ the \\ null \ and \ cannot \ support \ that \ the \ true \ mean \ of \ adult \ men \\ is \ not \ 183 \ lbs[/tex]
