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- The following data shows the results for 20 students in one of the post graduate unit.42 66 67 71 78 62 61 76 71 6761 64 61 54 83 63 68 69 81 53Based on the information given you are required toCompute the mean, median and mode.April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 35 feet high. The height of the arrow is given by the function h(t)= -16t2+32t+35, where t is the time in seconds. What is the maximum height of the arrow?An educational researcher decided to predict the college GPA of entering students based on their high school GPA and the number of books they have read in the past year. Interpret the residual for a student with a College GPA equal to 3.00, a high school (HS) GPA equal to 2.87 and who has read 16 books in the past year. College GPA = 1.07 + 0.178(HS) GPA+1.05 books a) The student performed better than expected. b) The student performed exactly as expected. c) The student performed worse than expected. d) Cannot be determined from the given information.
- An airliner carries 200 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is____ (Round to four decimal places as needed.) b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 78 in. The probability is____ (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. B. The probability from part (a) is more relevant…Before a big test, James memorized 10% more words than Zach. Zach memorized 30% more words than Amy. If Amy memorized a words, how many words did James memorized in terms of a ?Return to the waiting times given for the physicians office in Problem 19. a. Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time 5 37 minutes)? b. Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time 5 37 minutes)? How does this z-score compare with the z-score you calculated for part a? c. Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? 19. Suppose that the average waiting time for a patient at a physicians office is just over 29 minutes. 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 (in 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 such systems. a. What are the mean and median patient wait times for offices with a wait-tracking system? What are the mean and median patient wait times for offices without a wait-tracking system? b. What are the variance and standard deviation of patient wait times for offices with a wait-tracking system? What are the variance and standard deviation of patient wait times for visits to offices without a wait tracking system? c. Create a box plot for patient wait times for offices without a wait-tracking system.
- A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 156 students who took the course last semester are provided in the tile MktHrsPts. Develop a scatter chart for these data. What does the scatter chart indicate about the relationship between total points earned and hours spent studying? Develop an estimated regression equation showing how total points earned is related to hours spent studying. What is the estimated regression model? Test whether each of the regression parameters β0 and β1 is equal to zero at a 0.01 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? How much of the variation in the sample values of total point earned does the model you estimated in part (b) explain? Mark Sweeney spent 95 hours studying. Use the regression model you estimated in part (b) to predict the total points Mark earned.The histogram below shows amount of blood in deciliters (dl) for 200 people. Required:a) How many people have an amount of blood between 205 and 210 dl? b) How many people have an amount of blood < 205 dl? c) What percentage of people have an amount of blood >215 dl? d) How many people have an amount of blood between 205 and 220 dl?Fred examines the range of motion of Oscar’s knee joint during his rehabilitation from a knee injury. At full extension, the angle between the lower leg and the thigh is 178 degrees. At full flexion, the angle between the lower leg and thigh is 82 degree. During the test, Oscar’s thigh was held in a fixed position and only the lower leg moved. What was the angular displacement of Oscar’s leg from full extension to full flexion? Express your answer in (a) degrees and (b) radians
- what is the CPR and SMM for PSA 0.75 and 1.50 in months 1, 10, 20, 30.A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected. a. Develop a scatter chart for these data. Does a linear relationship appear reasonable? Explain. b. Use the data to develop an estimated regression equation that could be used to predict the number of days absent given the distance to work. What is the estimated regression model? c. What is the 99% confidence interval for the regression parameter 1? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 1 is equal to zero? d. What is the 99% confidence interval for the regression parameter 0? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 0 is equal to zero? e. How much of the variation in the sample values of number of days absent does the model you estimated in part (b) explain?T19 Two students are registered for the same class and attend independently of each other, student A 90% of the time and student B 80% of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in class that day? (Round your answer to three decimal places.)