In: Math
Q1. Does an average box of cereal contain 368 grams of cereal? A random sample of 36 boxes had a mean of 372.5 and a standard deviation of 12 grams. Test at the .05 level of significance.
Null hypothesis
  
           
          
       
Alternative hypothesis      
  
       
          
       
We have for given sample,      
           
Population mean for given sample=368  
Sample mean=372.5      
   
Sample standard deviation s=12      
Sample size =n=   36      
   
          
       
Degree of freedom = n-1 =35      
          
       
          
       
          
       
t test statistic formula is      
           
P value = 0.0308................by using Excel command TDIST(2.25,35,2)
P value is = 0.0308 < 0.05
Therefore, we reject H0 at