The director of student health at a small high school is studying how many calories students at her high school consume in a day. She takes a random sample of 50 students from the high school and records the number of calories they consume in a 24 hour period. From the sample she found the average number of calories consumed was 1864 and that the standard deviation was 380. However before she finds the confidence interval for how many calories students consume in one day she goes to the statistics teacher for advice. What should the statistics teacher's advice be? Select all that apply.

Select one or more:

The population may not be normal and the sample size is not large enough. Thus she should not compute the confidence interval.She did not take a simple random sample of the students, thus she should not compute the confidence interval.The standard deviation is not large enough to compute the confidence interval.The population may not be normal, but the sample size is large enough. Thus she can compute the confidence interval.She can calculate the confidence interval but should use a t-distribution since it deals with an average.