Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 transactions at random, she found that the average amount spent was $
43.25
. She then computed a
95
% confidence interval to be between $
39.61
and $
46.89
.
Which statement gives a valid interpretation of the interval?

The store manager is
95
% confident that the average amount spent by the 36 sampled customers is between $
39.61
and $
46.89
.

The store manager is
95
% confident that the average amount spent by all customers is between $
39.61
and $
46.89
.

There is a
95
% chance that a randomly selected customer will spend between $
39.61
and $
46.89
.

There is a
95
% chance that the mean amount spent by all customers is between $
39.61
and $
46.89
.