Question

Carleton Chemical claims that they can produce an average of more than 800 tons of meladone
per week. A random sample of 36 weeks of production yielded a sample mean of 823 tons, with
a standard deviation of 79.8 tons.

Does the sample data provide sufficient evidence to support the claim
made by Carleton Chemical?   Use a significance level of α = .05.

Answer 1

Null hypothesis      

      
              
Alternative hypothesis      

       
              
We have for given sample,              
Population mean for given sample=800
Sample mean=823      
Sample standard deviation s=79.8  
Sample size =n=36      
              
Degree of freedom = n-1 =35  

t test statistic formula is              

P value = 0.0462........................by using Excel command TDIST(1.73,35,1)

P value is = 0.0462 < 0.05

Therefore, we reject H0 at

Conclusion: We have sufficient evidence at to say that, they can produce an average of more than 800 tons of meladone per week.