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Students conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land heads up or tai

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Answer #1

Ho :   µ =   30                  
Ha :   µ <   30       (Left tail test)          
                          
Level of Significance ,    α =    0.05                  
sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   1.3799                  
Sample Size ,   n =    6                  
Sample Mean,    x̅ = ΣX/n =    29.3                  
              
degree of freedom=   DF=n-1=   5                  
                          
Standard Error , SE = s/√n =   1.3799   / √    6   =   0.563      
t-test statistic, t = (x̅ - µ )/SE = (   29.300   -   30   ) /    0.563   =   -1.24
                          
  
p-Value   =   0.1346 [Excel formula =t.dist(t-stat,df) ]              

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