Consider the following data: 14 24 18 22 19 18 16 22 24 17 15 16 19 23 24 16 16 26 21 16 20 22 16 12 24 23 19 25 20 25 21 19 21 25 23 24 22 19 20 20 (a) Develop a frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26. Class Frequency 12-14 5 15-17 8 18-20 10 21-23 9 24-26 8 Total 40 (b) Develop a relative frequency distribution and a percent frequency distribution using the classes in part (a). If required, round your relative frequency answers to three decimal places and percent frequency answers to one decimal place. Class Relative Frequency Percent Frequency 12-14 0.125 12.5 % 15-17 0.200 20.0 % 18-20 0.250 25.0 % 21-23 0.225 22.5 % 24-26 0.200 20.0 % Total 1.00 100 % Suppose that the average waiting time for a patient at a physician's office is just over 29 minutes. In order to address the issue of long patient wait times, some physicians' offices are using wait- tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (minutes) for a sample of patients at offices that do not have a wait-tracking system and wait times for a sample of patients at offices with a wait-tracking system. Without Wait- Tracking System With Wait-Tracking System 24 31 67 11 17 14 20 19 31 12 44 37 12 9 23 13 16 12 37 15 (a) Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time = 37 minutes)? If required, round your intermediate calculations and final answer to two decimal places. Z-score = 0.206 (b) Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time = 37 minutes)? If required, round your intermediate calculations and final answer to two decimal places. Z-score = 1.82 How does this z-score compare with the z-score you calculated for part (a)? The input in the box below will not be graded, but may be reviewed and considered by your instructor blank (c) Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? No Based on z-scores, do the data for offices with a wait-tracking system contain any outliers? No Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 20th, 25th, 61st, and 71st percentiles. If needed, round your answers to two decimal digits. Percentile Value 20% 1.6 X 25% N 61% 4.88 71% 5.68