The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the 90% confidence interval for the difference in population means is (closest to) . Group of answer choices

The 90% confidence interval is  

Step-by-step explanation:

From the question we are told that

   The sample mean for men is  

    The sample mean for women is  

     The sample size for men  is  

      The sample size for women is  

      The standard deviation for men is

       The standard deviation for women is  

From the question we are told the confidence level is  90% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the standard error is mathematically represented as

=>  

=>  

Generally the margin of error is mathematically represented as

=>    

=>    

Generally 90% confidence interval is mathematically represented as  

=>    

=>    

it would be 6xy and -16xy.