A sample of 26 offshore oil workers took part in a simulated escape exercise, re
ID: 3274389 • Letter: A
Question
A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape: (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) How does it suggest that the sample mean and median will compare? The display is reasonably symmetric, so the mean and median will be close. The display is positively skewed, so the median will be greater than the mean. The display is negatively skewed, so the mean will be greater than the median. The display is positively skewed, so the mean will be greater than the median. The display is negatively skewed, so the median will be greater than the mean. (b) Calculate the values of the sample mean x bar and median x. (Round your answers to two decimal places.) x bar = 370.58 sec x = 369.50 sec (c) By how much could the largest time, currently 423, be increased without affecting the value of the sample median? (Enter infinity if there is no limit to the amount.) infinity By how much could this value be decreased without affecting the value of the sample median? (Enter infinity if there is no limit to the amount.) 0 (d) What are the values of x bar and x when the observations are reexpressed in minutes? (Round your answers to two decimal places.) x bar = 6.176 min x = 6.158 minExplanation / Answer
Ans:
c)if we decrease the largest value to 371,it will not affect the median value(369.5)
if we decrease it to 370,then median value changes to 369
Hence,it can be decreased by 52 (i.e.423-371=52) without affecting the median value.
Sorted Data Set: 408, 402, 397, 395, 393, 391, 389, 378, 378, 376, 372, 371, 371, 368, 367, 366, 362, 361, 359, 354, 354, 351, 339, 333, 326, 322
Mean: 368.58 Median: 369.5 Range: 86 Mode: 378, 371, 354, each appeared 2 times Largest: 408 Smallest: 322 Sum: 9583 Count: 26