The director of student health at the small high school is studying how many calories students at her high school consume in the day. She takes the random sample of ten students from the high school and records the number of calories they consume in the 24 hour period. From the sample she found the average number of calories consumed was 1873 and that standard deviation was 330. But before she finds the confidence interval for how many calories students consume in one day she goes to statistics teacher for advice. What should the statistics teacher's advice be?
Select All that Apply
A. She didn't take a simple random sample of the students, therefore she should not calculate the confidence interval.
B. The standard devaition is not large enough to compute the confidence interval.
C. She can compute the confidence interval but should employ a t-distribution since it deals with average.
D. The population may not be normal, but the Central Limit Theorem applies. Thus she should calculate the confidence interval as normal.
E. The population might not be normal, and the Central Limit Theorem doesn't apply. Thus she should not calculate the confidence interval.