The bookstore of a large university wants to determine how much money full-time first-year students spend, on average, in the university bookstore. At the end of the school year, a random sample of bookstore bills for 40 first-year students is obtained. A 95% confidence interval for the mean is calculated to be ($450, $1300). Which of the following is a correct interpretation of this interval?
A) We can be 95% confidence that the average bookstore bill for full-time first-year students in our sample is between $450 and $1300.
B) We can be 95% confident that the average bookstore bill for full-time first year university students is between $450 and $1300
C) We can be 95% confident that the average bookstore bill for full-time first-year students at this university is between $450 and $1300
D) The average bookstore bill for full-time first-year students at this university will be between $450 and $1300 about 95% of the time
E) About 95 out of 100 full-time first-year students at this university will have bookstore bills between $450 and $1300