Math 150 (statistics)

Question 1) Suppose that three teams of friends are comparing the time it takes them to com- plete different. escape rooms. (An escape room is a group puzzle experience. Keep in mind that a faster/lower time to complete an escape room is actually a better performance. just like running a race!) They have the following data. (Note: All values below are in minutes) (3.) Calculate the mean, median and sample standard deviation for the completion time for each of the three teams. Make sure to give all your answers with appropriate units. (b) Using the mean, which of these teams did the best in escaping from these ten rooms? (c) Using the median, which of these teams did the best in (scaping from these ten rooms? (d) Going room by room, which team did the best in the most rooms? (9) Using the sample standard deviation, which of these teams was most consistent in their time escaping from these ten rooms? (f) Build a. split stemplot for the times for Team 3. Describe the shape of your stemplot. Question 2) Suppose you work for the Cheapo Co'ee company and are tasked with studying their coffee shops around the country. You are interested in studying the number of cups of coffees sold per day at different Cheapo Coee Shops. To study this you get a list of all Cheapo Coffee Shops in the US and randomly select 18 to visit. On the day you visit you record how many cups of coffee each shop sold. (Note: each value is the number of cups of coifee sold that day): 39, 48, 57, 60, 65. 73, 84, 90, 107, 138, 145. 156, 208, 232, 273, 293, 343, 406 (a) What is the population in this question? (h) What is the sample in this question? (c) What is an individual in this question? (d) W'hat sampling technique was used to build this sample? (e) Calculate the mean, median and standard deviation for this data set. Make sure to give units. (f) Construct a histogram with class size 70 starting at 0 for this data. Describe the shape. (g) What percent of the shops in your sample sold loss than 300 cups of co'ee on the day you visited? QUESTION: Suppose that a company is studying the commute time for its employees. After surveying their employees they nd that most of the employees have long commute times but a few have very short commute times. What is the most likely shape for the distribution of this variable