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: 380 352 354 362 379 422 321 396 403 374 375 370 362 368 366 328 335 395 390 368 378 358 353 407 331 399 (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 33 34 35 36 37 38 39 40 41 42 How does it suggest that the sample mean and median will compare? O The display is positively skewed, so the median will be greater than the mean. O The display is negatively skewed, so the median will be greater than the mean. O The display is reasonably symmetric, so the mean and median will be close. O The display is positively skewed, so the mean will be greater than the median. O The display is negatively skewed, so the mean will be greater than the median. (b) Calculate the values of the sample mean x and median x. [Hint: Ex; = 9626.] (Round your answers to two decimal places.) x = (c) By how much could the largest time, currently 422, be increased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) sec sec 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 min * @ x =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
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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:
380 352 354 362 379 422 321 396 403
374 375 370 362 368 366 328 335 395
390 368 378 358 353 407 331 399
(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
33
34
35
36
37
38
39
40
41
42
How does it suggest that the sample mean and median will compare?
O The display is positively skewed, so the median will be greater than the mean.
O The display is negatively skewed, so the median will be greater than the mean.
O The display is reasonably symmetric, so the mean and median will be close.
O The display is positively skewed, so the mean will be greater than the median.
O The display is negatively skewed, so the mean will be greater than the median.
(b) Calculate the values of the sample mean x and median X. [Hint: Ex; = 9626.] (Round your answers to two decimal places.)
x =
sec
sec
X =
(c) By how much could the largest time, currently 422, 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 X when the observations are reexpressed in minutes? (Round your answers to two decimal places.)
x=
min
X =
min
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: 380 352 354 362 379 422 321 396 403 374 375 370 362 368 366 328 335 395 390 368 378 358 353 407 331 399 (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 33 34 35 36 37 38 39 40 41 42 How does it suggest that the sample mean and median will compare? O The display is positively skewed, so the median will be greater than the mean. O The display is negatively skewed, so the median will be greater than the mean. O The display is reasonably symmetric, so the mean and median will be close. O The display is positively skewed, so the mean will be greater than the median. O The display is negatively skewed, so the mean will be greater than the median. (b) Calculate the values of the sample mean x and median X. [Hint: Ex; = 9626.] (Round your answers to two decimal places.) x = sec sec X = (c) By how much could the largest time, currently 422, 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 X when the observations are reexpressed in minutes? (Round your answers to two decimal places.) x= min X = min
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