(c) By how much could the largest time, currently 422, be increased without affecting the value of the sample median? (Enter o if there is no limit to the amount.) 51 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:
385
351
355
361
379
422
321
396
400
372
375
371
363
366
364
325
336
393
391
369
376
356
354
407
334
399
(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.)
Stems
Leaves
32
15
33
4 6
34
NONE
35
1456
36
13469
37
12569
38
5
39
1369
40
07
41
NONE
42
2
How does it suggest that the sample mean and median will compare?
O The display is reasonably symmetric, so the mean and median will be close.
O The display is positively skewed, so the median will be greater than the mean.
O The display is negatively skewed, so the mean will be greater than the median.
O The display is positively skewed, so the mean will be greater than the median.
O 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 X. [Hint: Ex; = 9621.] (Round your answers to two decimal places.)
X = 370.04
sec
X = 370.00
sec
(c) By how much could the largest time, currently 422, be increased without affecting the value of the sample median? (Enter o if there is no limit to the amount.)
51
By how much could this value be decreased without affecting the value of the sample median? (Enter o if there is no limit to the amount.)
(d) What are the values of x and X when the observations are reexpressed in minutes? (Round your answers to two decimal places.)
X= 6.17
min
X = 6.17
min
8.
Transcribed Image Text: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: 385 351 355 361 379 422 321 396 400 372 375 371 363 366 364 325 336 393 391 369 376 356 354 407 334 399 (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.) Stems Leaves 32 15 33 4 6 34 NONE 35 1456 36 13469 37 12569 38 5 39 1369 40 07 41 NONE 42 2 How does it suggest that the sample mean and median will compare? O The display is reasonably symmetric, so the mean and median will be close. O The display is positively skewed, so the median will be greater than the mean. O The display is negatively skewed, so the mean will be greater than the median. O The display is positively skewed, so the mean will be greater than the median. O 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 X. [Hint: Ex; = 9621.] (Round your answers to two decimal places.) X = 370.04 sec X = 370.00 sec (c) By how much could the largest time, currently 422, be increased without affecting the value of the sample median? (Enter o if there is no limit to the amount.) 51 By how much could this value be decreased without affecting the value of the sample median? (Enter o if there is no limit to the amount.) (d) What are the values of x and X when the observations are reexpressed in minutes? (Round your answers to two decimal places.) X= 6.17 min X = 6.17 min 8.
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