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. Tenant Number Level of Satisfaction Before Pool Level of Satisfaction After Pool 1 2 3 2 1 1 3 3 5 4 4 3 5 2 4 6 5 5 7 2 3 8 3 3 9 3 4 \begin{array} { c | c c } \begin{array} { c } ext { Tenant } \ ext { Number }\end{array} & \begin{array} { c } ext { Level of Satisfaction } \ ext { Before Pool }\end{array} & \begin{array} { c } ext { Level of Satisfaction } \ ext { After Pool }\end{array} \\hline 1 & 2 & 3 \2 & 1 & 1 \3 & 3 & 5 \4 & 4 & 3 \5 & 2 & 4 \6 & 5 & 5 \7 & 2 & 3 \8 & 3 & 3 \9 & 3 & 4\end{array} Tenant Number 1 2 3 4 5 6 7 8 9 Level of Satisfaction Before Pool 2 1 3 4 2 5 2 3 3 Level of Satisfaction After Pool 3 1 5 3 4 5 3 3 4

Question

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.    Tenant   Number   Level of Satisfaction   Before Pool   Level of Satisfaction   After Pool  1 2 3 2 1 1 3 3 5 4 4 3 5 2 4 6 5 5 7 2 3 8 3 3 9 3 4 \begin{array} { c | c c } \begin{array} { c } 	ext { Tenant } \	ext { Number }\end{array}  &  \begin{array} { c } 	ext { Level of Satisfaction } \	ext { Before Pool }\end{array}  &  \begin{array} { c } 	ext { Level of Satisfaction } \	ext { After Pool }\end{array} \\hline 1  &  2  &  3 \2  &  1  &  1 \3  &  3  &  5 \4  &  4  &  3 \5  &  2  &  4 \6  &  5  &  5 \7  &  2  &  3 \8  &  3  &  3 \9  &  3  &  4\end{array}  Tenant   Number  ​ 1 2 3 4 5 6 7 8 9 ​  Level of Satisfaction   Before Pool  ​ 2 1 3 4 2 5 2 3 3 ​  Level of Satisfaction   After Pool  ​ 3 1 5 3 4 5 3 3 4 ​ ​

Tyson Anderson · Accepted Answer

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

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