A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in...

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A sample of 26 offshore oil workers took part in a simulatedescape exercise, resulting in the accompanying data on time (sec)to complete the escape:

383352354360379423324397402
374375370362366366327339394
390369377357354407330397

(a) Construct a stem-and-leaf display of the data. (Enternumbers from smallest to largest separated by spaces. Enter NONEfor stems with no values.)

StemsLeaves
321
332
343
354
365
376
387
398
409
4110
4211


How does it suggest that the sample mean and median willcompare?

The display is positively skewed, so the mean will be greaterthan the median. The display is negatively skewed, so the medianwill be greater than the mean.     The displayis reasonably symmetric, so the mean and median will be close. Thedisplay is positively skewed, so the median will be greater thanthe mean. The display is negatively skewed, so the mean will begreater than the median.


(b) Calculate the values of the sample mean x and median x. [Hint: ?xi = 9628.] (Round youranswers to two decimal places.)

x =13 sec
x =14 sec


(c) By how much could the largest time, currently 423, be increasedwithout affecting the value of the sample median? (Enter ? if thereis no limit to the amount.)


By how much could this value be decreased without affecting thevalue of the sample median? (Enter ? if there is no limit to theamount.)


(d) What are the values of x and x when the observationsare reexpressed in minutes? (Round your answers to two decimalplaces.)

x= 17 min
x= 18 min

Answer & Explanation Solved by verified expert
3.7 Ratings (725 Votes)
aFollowing is the stemandleaf display of the dataThe display is reasonably symmetric so the mean and median willbe    See Answer
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