Decide whether or not the conditions and assumptions for inference with a two-sample t-test are satisfied. Explain your answer.

The owner of a large apartment complex had an in-ground swimming pool installed in an effort to increase tenant satisfaction. Nine tenants were randomly selected to complete a questionnaire that assessed their level of satisfaction with the apartment complex. Their scores before and after the installation of the pool are shown. The owner wants to assess the effectiveness of the pool in increasing tenant satisfaction.

Group of answer choices

The conditions and assumptions for inference appear to be satisfied. The samples are independent of each other. The samples appear to be independent and random since the times were selected randomly and we can assume that the 8 tenants represent fewer than 10% of the tenants. Each sample is reasonably symmetric, consequently, the Central Limit Theorem applies. The two-sample t-test can be used on this data

The two-sample t-test cannot be used on this data. These are not two independent samples. These are before and after scores for the same individuals.

The conditions and assumptions for inference are not all satisfied. The samples are independent of each other. The samples appear to be independent and random since the times were selected randomly and we can assume that the 8 tenants represent fewer than 10% of the tenants. The sample size is not large enough for the Central Limit Theorem to apply; therefore, the two-sample t-test can be used on this data