Annuity
a Large Annuity Company Holds Many Industry Group Stocks

Annuity
A large annuity company holds many industry group stocks.Among the industries are banks,business services and construction.Seven companies from each industry group are randomly sampled to test the hypothesis that the mean price per share is the same among industries.The data are: $$\begin{array} { | l | l | l | } \hline { \text { Banks } } & { \text { Business Services } } & { \text { Construction } } \\\hline n _ { 1 } = 7 & n _ { 2 } = 7 & n _ { 3 } = 7 \\\bar { x } _ { 1 } = 41 & \bar { x } _ { 2 } = 30 & \bar { x } _ { 3 } = 24 \\\sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { 1 } - \bar { x } _ { 1 } \right) ^ { 2 } = 882 & \sum _ { i = 1 } ^ { n _ { 2 } } \left( x _ { i 2 } - \bar { x } _ { 2 } \right) ^ { 2 } = 1266 & \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { i 3 } - \bar { x } _ { 3 } \right) ^ { 2 } = 582 \\\hline\end{array}$$
-Compute the appropriate table value to use as the critical value at the 2.5% significance level.