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. 389 356 359 364 375 424 326 395 403 373 374 370 365 367 364 325 339 394 392 369 375 359 356 403 334 397 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 371.04 and 24.39, 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%. How does this bound compare with the confidence bound of part (a)? The upper prediction bound is lower than the upper confidence bound. The upper prediction bound is higher than the upper confidence bound. The upper prediction bound is equal to the the upper confidence bound. (c) Suppose that two additional workers will be chosen participate in the simulated escape exercise. Denote their escape times by X27 and 28 and let new denote the average of these two values. Modify the formula for a PI for a single x value to obtain a PI for Xper and calculate a 95% two-sided interval based on the given escape data.

Answer 1

1 To calculate an upper prediction boundi. ejeren n = 26 1:37.15 and 3.24.79 df a n-1 = 2601 226 The time of single additional walker is, Ne know Atteint es mo put ualues in como

| 3115 + toos, 15 * 1465 4 응 - 8145 404) * 1406 16 515 + \th) * 3-55 10 312 41.933/10384 375 4 4988 11090 3146 1 42 18 - 31154 478) | 375-42.73) 413 32841

-- upper prediction found is 41318 (2) from Plien datas neu 198+14 . ३ i prediction Erro 15 (8-knew) = 63) - (Yraw) 40 And

And Voor - ne) - Var 8 +var knew) Where Var (7) = ج : ايمو )an lar اپنے والد .18

2 ath We 996 Thangach Know Oy Prediction internal is it ton *S/2+ os os put values in El 516468435 2106

+ 0.00 55 063; 5]\lf 2600 45 4 E 61Nl5 01 || 5.6 1W , bluf - 31 || - (1943 અક

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