Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.
A.
The students were randomly sampled.
B.
The sample data come from a population that is approximately normal.
C.
The students' test scores were independent of one another.
D.
The sample size is larger than 30.
E.
A boxplot of the sample data shows no outliers.
F.
None of the requirements are satisfied.
A. The students were randomly sampled. - This is a requirement for performing a t-test. If the students were not randomly sampled, then the results may not be representative of the population as a whole.
B. The sample data come from a population that is approximately normal. - This is a requirement for performing a t-test. If the population is not approximately normal, then the results of the t-test may not be valid.
C. The students' test scores were independent of one another. - This is a requirement for performing a t-test. If the test scores are not independent, such as if they were taken from the same class or group of students, then the results of the t-test may not be valid.
D. The sample size is larger than 30. - This is a guideline, rather than a strict requirement, for performing a t-test. If the sample size is smaller than 30, then the t-test may not be appropriate.
E. A boxplot of the sample data shows no outliers. - This is not a strict requirement for performing a t-test, but it is good practice to check for outliers. Outliers can affect the validity of the t-test results.
Based on this information, the requirements to perform the test using the t-distribution that are satisfied are A, B, C, and D.