Find the 95\% confidence interval for the difference between the means in Example 9-1.

 Example 9-1.

A study using two random groups of 40 men and 40 women found that the average daily intake of sodium for men was 3653 milligrams and 3482 milligrams for women. Assume that the population standard deviation from previous studies is 324 milligrams for men and 287 milligrams for women. At \(\alpha=0.05\), can it be concluded that there is a significant difference in the average sodium intake between the groups?