Question

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length it is believed that the populations standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set a=.02 the critical value for this hypothesis test would be...

Answer 1

Upper Critical Value = 2.054....................................by using Z table.

Null hypothesis  

      
          
Alternative hypothesis   

      
          
We have given,          
Population mean for given example =8  
Sample mean=8.7  
Population standard deviation =   2.5  
Sample size for given example =   37  
Level of significance =   0.02  
Z test statistic formula

      
One-Tailed test (Upper)  
Upper Critical Value = 2.054....................................by using Z table.

P-value=   0.0443
Decision:Do not reject H0