Question

the ages of actresses when they won an acting award is summarized by the following data: the sample size is 78 the sample mean is 35.6 years and the standard deviation of the sample is 11.4 years. use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 34 years. answer

Answer 1

Ho :   µ =   34  
Ha :   µ ╪   34  

          
Level of Significance ,    α =    0.05  
sample std dev ,    s =    11.4  
Sample Size ,   n =    78  
Sample Mean,    x̅ =   35.6  
          
degree of freedom=   DF=n-1=   77

          
Standard Error , SE =   s/√n =   1.2908  
          
t-test statistic=   (x̅ - µ )/SE =    1.240  

          
  
p-Value   =   0.2189   [excel formula =2*NORMSDIST(z)]
Conclusion:     p-value>α, Do not reject null hypothesis

hence, there is not enough evidence to reject the claim that     mean age of actresses when they win an acting award is 34 years at α=0.05