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...

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:

Construct a 95% confidence interval estimate of the total value of the merchandise in inventory at the end of the month.