An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individuals, he decides to conduct the experiment in a randomized block design. However, because of a time constraint, he must use an incomplete block design. The data obtained follows. Analyze the data from this experiment (use = 0.01) and draw appropriate conclusions. a) Write down hypothesis and construct ANOVA table, and then write down your conclusion. b) Which distance is the best on eye focus time. (Use Tukeys test for comparison)

\begin{tabular}{ccccc} \hline & \multicolumn{4}{c}{ Subject } \\ \cline { 2 - 5 } Distance (ft) & 1 & 2 & 3 & 4 \\ \hline 4 & & 6 & 6 & 6 \\ 6 & 7 & 6 & 6 & \\ 8 & 5 & 3 & & 2 \\ 10 & 6 & & 4 & 2 \\ \hline \end{tabular} \begin{tabular}{ccccc} \hline & \multicolumn{4}{c}{ Subject } \\ \cline { 2 - 5 } Distance (ft) & 1 & 2 & 3 & 4 \\ \hline 4 & & 6 & 6 & 6 \\ 6 & 7 & 6 & 6 & \\ 8 & 5 & 3 & & 2 \\ 10 & 6 & & 4 & 2 \\ \hline \end{tabular}