In: Statistics and Probability
Janet wants to know if a bottle of follicle shampoo contains more than 873.3 ml at the 5%level of significance. She samples twenty-three bottles and computes a mean of 875.1 ml and standard deviation of 5.32 ml.

vs

We have here given,   
Population mean for given sample=873.3  
Sample mean=875.1      
   
Sample standard deviation s=5.32  
   
Sample size =n=   23      
   
          
       
Degree of freedom = n-1 =22      
          
       
  
          
       
t test statistic formula is
P value is 0.0594................................by using =TDIST(1.623,22,1) Excel command.
P value is 0.0594 > 0.05
Therefore, we fail to reject H0.