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 6 34 NONE 35 146 36 13469 37 12569 38 5 39 1369 40 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 = 370.03 X = 369.5 sec 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.) 52 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= 6.16 min X = 6.16 min
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 6 34 NONE 35 146 36 13469 37 12569 38 5 39 1369 40 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 = 370.03 X = 369.5 sec 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.) 52 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= 6.16 min X = 6.16 min
A First Course in Probability (10th Edition)
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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
15
33
6
34
NONE
35
146
36
134 69
37
12569
38
39
1369
40
7
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.)
%3D
X = 370.03
sec
X = 369.5
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.)
52
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= 6.16
min
X = 6.16
min
32](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86bfc21f-7304-4d6a-8ae3-de059a5180e7%2Fd8306edd-fa9d-415d-81e2-3f009150c59d%2Fhfzb6k_processed.png&w=3840&q=75)
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
15
33
6
34
NONE
35
146
36
134 69
37
12569
38
39
1369
40
7
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.)
%3D
X = 370.03
sec
X = 369.5
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.)
52
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= 6.16
min
X = 6.16
min
32
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