Answer:
The confidence interval would be 
and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.
Step-by-step explanation:
We have the following info given by the problem
the sample mean for the salaries of teachers in Indiana
the sample deviation for the salary of teachers in Indiana
the sample size from Indiana
the sample mean for the salaries of teachers in Michigan
the sample deviation for the salary of teachers in Michigan
the sample size from Michigan
We want to find a confidence interval for the difference in the two means and the formula for this case is given by;
The degrees of freedom for this case are:
The confidence is 95%so then the significance is 
and the 
, we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:
And now replacing in the formula for the confidence interval we got:
The confidence interval would be and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.
