4. A random sample of 36 orders at a fast-food restaurant were studied to determine the dollar amount (to nearest dollar) of the order. The results were as follows: (use more space than is provided here) 21 53 44 21 35 25 40 27 |51 59 37 39 16 15 29 29 23 18 5 20 15 11 91 12 27 34 8 30 35 22 19 29 36 39 21 15 a) Construct a stem-and-leaf plot for the data. b) Make a box-and-whisker plot for the data. Provide and label the 5-number summary. c) Make a frequency table with 6 classes showing class limits, class boundaries, frequencies, and cumulative frequencies. Class Limits Class Boundaries Frequencies Cumm Frequency d) Construct the histogram with 6 class for this data. ) Find the 99% Confidence Interval for the average $ amount spent for these orders. 5. The following table contains data from a study of two airlines which fly to Smalltown, USA. On Time Late Flight | Total Flaiy Air 93 12 UrNxt Air 57 19 Total Complete the table and find the following probabilities. 1) P (On Time) b) P (Flair Air) c) P (Flaiy Air AND On Time) d) P (UNxt Air OR Late) e) P( Flaix Air | On Time) f) P (Late | WINxt Air)1. Twenty-ve students took the rst midterm exam. The number of minutes that they each took are shown below. 35, 45, 48, 50, 50, 52, 60, 61, 64, 70, 7'2, 75, 7'8, 78, 81, 83, 84, 87, 88, 88, 89, 90, 90, 90, 90 A. Construct a stem and leaf diagram for this data. B. Construct a histogram for this data using 5 classes. C. You took one hour to complete the exam. What is your percentile? D. What is the mode? E. If the student who took 35 minutes for the exam is disregarded, would the standard deviation decrease, increase, or stay the same. Explain 2. A probability experiment consists of rolling a 16sided die, numbered 1 to 16. Find the probability of the following events: a) P (rolling a 10) b) P (rolling a # > 4) c) P (rolling a # 2)