on time (sec) to complete the escape (“Oxygen Consumption and Ventilation During Escape from an Offshore Platform,” Ergonomics, 1997: 281–292): 389 356 359 363 375 424 325 394 402 373 373 370 364 366 364 325 33
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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 (“Oxygen
Consumption and Ventilation During Escape from an
Offshore Platform,” Ergonomics, 1997: 281–292):
389 356 359 363 375 424 325 394 402
373 373 370 364 366 364 325 339 393
392 369 374 359 356 403 334 397
a. Construct a stem-and-leaf display of the data. How
does it suggest that the sample mean and
compare?
b. Calculate the values of the sample mean and median.
[Hint: oxi 5 9638.]
c. By how much could the largest time, currently 424,
be increased without affecting the value of the sample median? By how much could this value be
decreased without affecting the value of the sample
median?
d. What are the values of x and ,x when the observations are reexpressed in minutes?
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- A sample of 26 offshore oil workers took part in a simulated escapeexercise, resulting in the accompanying data on time (sec) to completethe escape ("Oxygen Consumption and Ventilation During Escape froman Offshore Platform," Ergonomics, 1997: 281-292): 389 356 359 363 375 424 325 394 402373 373 370 364 366 364 325 339 393392 369 374 359 356 403 334 397 a. Construct a stem-and-leaf display of the data. How does it suggest that the sample mean and median will compare?b. Calculate the values of the sample mean and median. [Hint: Ex; = 9638.]c. By how much could the largest time, currently 424, be increased without affecting the value of the sample median? By how much could this value be decreased without affecting the value of the sample median?d. What are the values of x and x when the observations arereexpressed in minutes?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 (“Oxygen Consumption and Ventilation During Escape from an Offshore Platform,” Ergonomics, 1997: 281-292): 389 356 359 363 375 424 325 394 402 373 373 370 364 366 364 325 339 393 392 369 374 359 356 403 334 397 a. Construct a stem-and-leaf display of the data. How does it suggest that the sample mean and median will compare?b. Calculate the values of the sample mean and median. [Hint: Σxi = 9638.]c. By how much could the largest time, currently 424, be increased without affecting the value of the sample median? By how much could this value be decreased without affecting the value of the sample median?d. What are the values of x and x when the observations are reexpressed in minutes?A sample of 26 offshore oil workers took part in a simulatedescape exercise, resulting in the accompanying dataon time (sec) to complete the escape (“OxygenConsumption and Ventilation During Escape from anOffshore Platform,” Ergonomics, 1997: 281–292):389 356 359 363 375 424 325 394 402373 373 370 364 366 364 325 339 393392 369 374 359 356 403 334 397a. Construct a stem-and-leaf display of the data. Howdoes it suggest that the sample mean and median willcompare? b. Calculate the values of the sample mean and median.[Hint: oxi 5 9638.]c. By how much could the largest time, currently 424,be increased without affecting the value of the samplemedian? By how much could this value bedecreased without affecting the value of the samplemedian?d. What are the values of x and x , when the observationsare reexpressed in minutes?
- A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.A manufacturer of flashlight batteries claims that the average life of her batteries is larger than 400 hours. Peter, as a quality assurance officer in the manufacturing company, took a random sample of 13 batteries from a day’s production and used them continuously until they failed to work. The lifetime (hours) until failure was:342 426 317 545 264 451 1049 631 512 266 492 562 298 (a) At the 0.05 level of significance, is there evidence that the manufacturer’s claim is correct? (b) What is the p-value?
- Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. The paper “Bone Mass Is Recovered from Lactation to Postweaning in Adolescent Mothers with Low Calcium Intakes” (Amer. J. of Clinical Nutr., 2004: 1322–1326) gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P). SubjectL 1928 2549 2825 1924 1628 2175 2114 2621 1843 2541P 2126 2885 2895 1942 1750 2184 2164 2626 2006 2627 Does the data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses using a significance level of .05.Monthly salary data were obtained from a random sample of 6 men and 7 women in management positions in Australian companies. Use the Mann-Whitney U test to determine whether men in management positions earn significantly more than women in similar positions at 1% level of Monthly Salary Men 5047 8317 3763 10950 12944 8634 Women 4386 5159 6432 11582 6513 4303 5929An article in the Journal of Quality Technology (Vol. 13, No. 2, 1981, pp. 111–114) describes an experimentthat investigates the effects of four bleaching chemicals on pulp brightness. These four chemicals wereselected at random from a large population of potential bleaching agents. The data are as follows:a. Test the significance of these chemical types with α=0.05.b. If proven significant, perform a multiple comparison method using Fisher’s LSD
- The authors of the article “Predictive Model for PittingCorrosion in Buried Oil and Gas Pipelines”(Corrosion, 2009: 332–342) provided the data on whichtheir investigation was based.a. Consider the following sample of 61 observations onmaximum pitting depth (mm) of pipeline specimensburied in clay loam soil. 0.41 0.41 0.41 0.41 0.43 0.43 0.43 0.48 0.480.58 0.79 0.79 0.81 0.81 0.81 0.91 0.94 0.941.02 1.04 1.04 1.17 1.17 1.17 1.17 1.17 1.171.17 1.19 1.19 1.27 1.40 1.40 1.59 1.59 1.601.68 1.91 1.96 1.96 1.96 2.10 2.21 2.31 2.462.49 2.57 2.74 3.10 3.18 3.30 3.58 3.58 4.154.75 5.33 7.65 7.70 8.13 10.41 13.44Construct a stem-and-leaf display in which the twolargest values are shown in a last row labeled HI.b. Refer back to (a), and create a histogram based oneight classes with 0 as the lower limit of the firstclass and class widths of .5, .5, .5, .5, 1, 2, 5, and 5,respectively.c. The accompanying comparative boxplot fromMinitab shows plots of pitting depth for four differenttypes of soils.…The article “Study on the Life Distribution ofMicrodrills” (J. of Engr. Manufacture, 2002: 301–305) reported the following observations, listed inincreasing order, on drill lifetime (number of holesthat a drill machines before it breaks) when holes weredrilled in a certain brass alloy. 59 61 65 67 68 71 74 76 78 7981 84 85 89 91 93 96 99 101 104105 105 112 118 123 136 139 141 148 158161 168 184 206 248 263 289 322 388 513a. Why can a frequency distribution not be based onthe class intervals 0–50, 50–100, 100–150, andso on?b. Construct a frequency distribution and histogram ofthe data using class boundaries 0, 50, 100, … , andthen comment on interesting characteristics.c. Construct a frequency distribution and histogram ofthe natural logarithms of the lifetime observations,and comment on interesting characteristics.d. What proportion of the lifetime observations in thissample are less than 100? What proportion of theobservations are at least 200?A heart study objective was to study heart disease among healthy volunteers.After a 10-year follow-up period involving men aged 40 to 59, there were 16 casesof coronary heart disease (CHD) among the 454 men who initially had cholesterollevels below 210 mg/100 ml (referred to as the low serum cholesterol group). Incontrast, among the 424 men whose initial cholesterol levels were at least 245mg/100 ml (referred to as the high serum cholesterol group), there were 51 cases ofCHD. With this information, Draw a 2x2 contingency table then calculate the relative risk (RR) associated with high serum cholesterol and provide an interpretation of the result.