The executives of the Muffin Baking Company are about to offer their employees a new retirement plan. First, though, they want to know the employees' current investments in stock. The normally distributed population population of stock investments by the 75 employees of the firm is known to have a standard devation of $99. A random sample of 36 employees shows a mean investment of $736. Construct a 99.8 percent confidence interval for the mean investment of all its employees.