Notes:  T1 means ${H}_{0}:{\beta}_{1}={\beta}_{2}={\beta}_{3}={\beta}_{4}={\beta}_{5}=0$  T2 means ${H}_{0}:{\beta}_{0}=0$ . 
 T3 means ${H}_{0}:{\beta}_{1}=0$ .  T4 means ${H}_{0}:{\beta}_{2}=0$ . 
 T5 means ${H}_{0}:{\beta}_{3}=0$ .  T6 means ${H}_{0}:{\beta}_{4}=0$ . 
 T7 means ${H}_{0}:{\beta}_{5}=0$ .  T8 means ${H}_{0}:\alpha =0.5,{p}_{1}={p}_{2}=2$ . 
 T9 means ${H}_{0}:\alpha =0.5$ .  T10 means ${H}_{0}:{p}_{1}={p}_{2}=2$ . 
 T11 means ${H}_{0}:{p}_{1}=2$ .  T12 means ${H}_{0}:{p}_{2}=2$ . 
 T13 means ${H}_{0}:b=c=d=0$ .  T14 means ${H}_{0}:a=0$ . 
 T15 means ${H}_{0}:b=0$ .  T16 means ${H}_{0}:c=0$ . 
 T17 means ${H}_{0}:d=0$ . 

 *means the null hypothesis is rejected under 5% significance level; North Ame. = North American 