A branch of a chain of large electronics stores is conducting an end-of-month inventory of the merchandise in stock. There were 1,546 items in inventory at that time. A sample of 50 items was randomly selected, and an audit was conducted, with the following results:
Value of Merchandise
= $252.28.............S = $93.67
Construct a 95% confidence interval estimate for the total value of the merchandise in inventory at the end of the month.