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In: Statistics and Probability

​If, in a sample of n=25 selected from a normal​ population, X=52 and S=10​, what is...

​If, in a sample of n=25 selected from a normal​ population, X=52 and S=10​, what is your statistical decision if the level of​ significance, a, is 0.05 the null​ hypothesis, H0​, is μ=50, and the alternative​ hypothesis, H1, is μ≠50?

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Expert Solution

Null hypothesis             

   
                  
Alternative hypothesis     

           
                  
We have for given sample,                  
Population mean for given sample=50  
Sample mean=52          
Sample standard deviation= s=10      
Sample size =n=25          
                  
Degree of freedom = n-1 =24      
                  
                  
                  
t test statistic formula is                  


=1         

P value = 0.3273..................by using Excel command =TDIST(1,24,2)

P value > 0.05

Therefore, we fail to reject H0 at
                  

orchestra answered 1 year ago
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