In: Statistics and Probability
Consider the following data drawn independently from normally
distributed populations: (You may find it useful to
reference the appropriate table: z table
or t table)
| x−1x−1 = 23.1 | x−2x−2 = 24.7 | 
| σ12 = 96.3 | σ22 = 93.1 | 
| n1 = 33 | n2 = 34 | 
a. Construct the 95% confidence interval for the
difference between the population means.
(Negative values should be indicated by a
minus sign. Round all intermediate calculations to at least 4
decimal places and final answers to 2 decimal
places.)
  
The statistical software output for this problem is :

a)
The 95% CI is :
-6.26 to 3.06