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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.)
-
x= ? min
~
x= ? min
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