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:
381 |
350 |
356 |
360 |
379 |
425 |
323 |
395 |
403 |
373 |
374 |
371 |
364 |
366 |
364 |
326 |
339 |
394 |
393 |
368 |
376 |
359 |
353 |
405 |
331 |
398 |
(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 negatively skewed, so the mean will be greater than the median.
The display is reasonably symmetric, so the mean and median will be close.
The display is positively skewed, so the mean will be greater than the median.
The display is positively skewed, so the median will be greater than the mean.
The display is negatively skewed, so the median will be greater than the mean.
(b) Calculate the values of the sample mean x and median . [Hint: Σxi
= 9626.] (Round your answers to two decimal places.)
-
x= ? sec
~
x= ? sec
(c) By how much could the largest time, currently 425, be increased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.)
By how much could this value be decreased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.)
(d) What are the values of x and when the observations are reexpressed in minutes? (Round your answers to two decimal places.)
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