following data are the response times in seconds for \( n=25 \) grade 1 students to arrange three objects by size. \( \begin{array}{lllll}5.4 & 3.6 & 5.7 & 3.7 & 3.8\end{array} \) \begin{tabular}{llllll|} \( 4.1 \) & \( 4.0 \) & \( 4.3 \) & \( 4.6 \) & \( 4.1 \) \\ \( 3.1 \) & \( 2.6 \) & \( 3.1 \) & \( 4.4 \) & \( 4.7 \) \\ \hline \( 3.6 \) & \( 3.7 \) & \( following data are the response times in seconds for \( n=25 \) grade 1 students to arrange three objects by size. \( \begin{array}{lllll}5.4 & 3.6 & 5.7 & 3.7 & 3.8\end{array} \) \begin{tabular}{llllll|} \( 4.1 \) & \( 4.0 \) & \( 4.3 \) & \( 4.6 \) & \( 4.1 \) \\ \( 3.1 \) & \( 2.6 \) & \( 3.1 \) & \( 4.4 \) & \( 4.7 \) \\ \hline \( 3.6 \) & \( 3.7 \) & \( 4.6 \) & \( 5.2 \) & \( 4.1 \) \\ \( 4.5 \) & \( 3.5 \) & \( 4.3 \) & \( 3.6 \) & \( 5.6 \) \end{tabular} (a) Find the mean and the standard deviation for these 25 response times. (Round your standard deviation to three decimal places.) mean standard deviation (b) Order the data from smallest to largest, (Enter your answers as a comma-separated ist.) \( 2.6,3.1,3.1,3.5,3.6,3.6,3.6,3.7,3.7,3.8,4.0,4.1,4.1,4.1,4.3,4,3,4.4,4.5,4.6,4.6,4.7,5.2,5.4,5.6,5 \). (c) Find the a-scores for the smatlest and largest respense times. (Round your answers to two decimat places:) smallest largest Is there any reason to belleve that these times are unusually large or smali? explain. since the z-score of the largest value is greater than 3 in absolute value, the largest value is unusually large. The smallest value is not unusuali Since the z-score of the smaliest value is greater than 3 in absolute value, the smallest value is unusually smali. The largeat value is net unuriual. Since neither of the zuscores are greater than 7 in absolute value, the measurements are not judoed to be unusually large or small. Bince both zescores are 9 reater than 3 in absolute value, the measurements are fudged to be unusual.