A sample of 26 offshore oil workers took part in a simulatedescape exercise, resulting in the accompanying data on time (sec)to complete the escape:
383 | 352 | 354 | 360 | 379 | 423 | 324 | 397 | 402 |
374 | 375 | 370 | 362 | 366 | 366 | 327 | 339 | 394 |
390 | 369 | 377 | 357 | 354 | 407 | 330 | 397 | |
(a) Construct a stem-and-leaf display of the data. (Enternumbers from smallest to largest separated by spaces. Enter NONEfor stems with no values.)
Stems | Leaves |
32 | 1 |
33 | 2 |
34 | 3 |
35 | 4 |
36 | 5 |
37 | 6 |
38 | 7 |
39 | 8 |
40 | 9 |
41 | 10 |
42 | 11 |
How does it suggest that the sample mean and median willcompare?
The display is positively skewed, so the mean will be greaterthan the median. The display is negatively skewed, so the medianwill be greater than the mean. The displayis reasonably symmetric, so the mean and median will be close. Thedisplay is positively skewed, so the median will be greater thanthe mean. The display is negatively skewed, so the mean will begreater than the median.
(b) Calculate the values of the sample mean x and median x. [Hint: ?xi = 9628.] (Round youranswers to two decimal places.)
(c) By how much could the largest time, currently 423, be increasedwithout affecting the value of the sample median? (Enter ? if thereis no limit to the amount.)
By how much could this value be decreased without affecting thevalue of the sample median? (Enter ? if there is no limit to theamount.)
(d) What are the values of x and x when the observationsare reexpressed in minutes? (Round your answers to two decimalplaces.)