Question

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

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.

389 356 359 364 376 424 326 395 403
373 374 371 365 366 365 325 339 394
393 369 375 359 357 403 335 397

A normal probability plot of the n = 26 observations on escape time given above shows a substantial linear pattern; the sample mean and sample standard deviation are 371.23 and 24.35, respectively. (Round your answers to two decimal places.)

a)Calculate an upper confidence bound for population mean escape time using a confidence level of 95%.

(b)Calculate an upper prediction bound for the escape time of a single additional worker using a prediction level of 95%.

(c)Suppose that two additional workers will be chosen to participate in the simulated escape exercise. Denote their escape times by

X27

and

X28,

and let

Xnew

denote the average of these two values. Modify the formula for a PI for a single x value to obtain a PI for

Xnew,

and calculate a 95% two-sided interval based on the given escape data.

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