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: 380 352 355 362 379 425 324 397 402 373 375 370 363 366 365 328 339 393 393 369 378 356 354 405 330 399 (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? ○ The display is positively 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 median will be greater than the mean. ○ The display is negatively skewed, so the mean will be greater than the median. ○ 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: Σx; = 9632.] (Round your answers to two decimal places.) x = x = sec 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 x when the observations are reexpressed in minutes? (Round your answers to two decimal places.) x= x = min 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: 380 352 355 362 379 425 324 397 402 373 375 370 363 366 365 328 339 393 393 369 378 356 354 405 330 399 (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? ○ The display is positively 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 median will be greater than the mean. ○ The display is negatively skewed, so the mean will be greater than the median. ○ 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: Σx; = 9632.] (Round your answers to two decimal places.) x = x = sec 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 x when the observations are reexpressed in minutes? (Round your answers to two decimal places.) x= x = min min
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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Question
![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
352 355 362 379
425 324 397 402
373
375
370 363 366 365 328
339 393
393 369 378 356 354 405 330 399
(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?
○ The display is positively 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 median will be greater than the mean.
○ The display is negatively skewed, so the mean will be greater than the median.
○ 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: Σx; = 9632.] (Round your answers to two decimal places.)
x =
x =
sec
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 x when the observations are reexpressed in minutes? (Round your answers to two decimal places.)
x=
x =
min
min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb898cad9-5347-4e0a-a74d-32f84bfad0f6%2Fa3bc7da6-f5ae-4da8-be42-61705639f02a%2Fmysobh7_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:
380
352 355 362 379
425 324 397 402
373
375
370 363 366 365 328
339 393
393 369 378 356 354 405 330 399
(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?
○ The display is positively 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 median will be greater than the mean.
○ The display is negatively skewed, so the mean will be greater than the median.
○ 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: Σx; = 9632.] (Round your answers to two decimal places.)
x =
x =
sec
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 x when the observations are reexpressed in minutes? (Round your answers to two decimal places.)
x=
x =
min
min
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