To complete the table and the sentence, let's go through the pairs step by step.
The table lists all possible combinations of one girl and one boy from the given selections.
### Step-by-step solution to complete the table:
- For Michaela:
- We have Neil with Michaela represented as N-M.
- We have Michaela paired with Barney, which should be represented as B-M.
- The pairing of Michaela with Ted is represented as T-M.
So for Michaela, the complete row would be:
N-M, B-M, T-M
- For Candice:
- We have Neil with Candice represented as N-C.
- We have Candice paired with Barney, which should be represented as B-C.
- The pairing of Candice with Ted is represented as T-C.
So for Candice, the complete row would be:
N-C, B-C, T-C
- For Raven:
- We have Neil with Raven represented as N-R.
- We have Raven paired with Barney, which should be represented as B-R.
- The pairing of Raven with Ted is represented as T-R.
So for Raven, the complete row would be:
N-R, B-R, T-R
### Table Completion:
\begin{tabular}{|l|l|c|l|l|}
\hline
& & \multicolumn{3}{|c|}{ Boys } \\
\hline
& & Neil & Barney & Ted \\
\hline
\multirow{4}{*}{ Girls }
& Michaela & N-M & B-M & T-M \\
\cline { 2 - 5 }
& Candice & N-C & B-C & T-C \\
\cline { 2 - 5 }
& Raven & N-R & B-R & T-R \\
\hline
\end{tabular}
### Calculation of the new sample size:
If there were 4 girls and 4 boys, the number of possible combinations would be the product of these two numbers:
New Sample Size = 4 girls × 4 boys = 16
### Final Sentence:
If instead of three girls and three boys, there were four girls and four boys to choose from, the new sample size would be 16.
By filling in the table and providing the correct sample size, we have correctly solved the problem.
