Ah artičlé in thế Journal of Sports Science (1987, Vol. 5, pp. 261-271) presents results of an investigation of the hemoglobin level of Canadian Olympic ice hock players. The data reported are as follows (in g/dl): 15.3 16.0 14.4 16.2 16.2 14.9 15.7 15.3 14.6 15.7 16.0 15.0 15.7 16.2 14.7 14.8 14.6 15.6 14.5 15.2
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- An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp. 608–619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage).A paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below. Whites (W) 8.3 0.9 2.9 5.6 5.8 5.4 1.2 1.0 1.4 2.1 1.3 5.3 8.4 6.6 5.2 3.4 2.9 2.7 6.7 3.6 African Americans (AA) 4.8 1.4 0.9 10.8 2.4 0.6 5.0 5.4 6.1 2.9 5.0 2.1 7.5 3.4 13.6 1.4 3.7 3.3 14.8 3.9 (a) Calculate the values of the mean and the median for blood lead level for the sample of African Americans. mean median (b) Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median? The median is greater than the mean. This is explained by the fact that the distribution is positively skewed. The mean is greater than the median. This is explained by the fact that the distribution is positively skewed. The median is greater than the mean. This is explained by the fact that the…A paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below. Whites (W) 8.3 0.9 2.9 5.6 5.8 5.4 1.2 1.0 1.4 2.1 1.3 5.3 8.4 6.6 5.2 3.6 2.9 2.7 6.7 3.8 African Americans (AA) 4.8 1.4 0.9 10.8 2.4 0.6 5.0 5.4 6.1 2.9 5.0 2.1 7.5 3.4 13.4 1.4 3.9 3.3 14.8 4.1 (a) Calculate the values of the mean and the median for blood lead level for the sample of African Americans. meanmedian (b) Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median? The mean is greater than the median. This is explained by the fact that the distribution is positively skewed.The median is greater than the mean. This is explained by the fact that the distribution is positively skewed. The median is greater than the mean. This is explained by the fact that the…
- rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…The blood lead concentrations, in micrograms per deciliter (µg/dL), of 20 children from two different neighborhoods were measured. The results are recorded in the table. Neighborhood 1 3.97 3.92 3.99 3.71 4.13 3.97 4.02 3.88 4.12 3.70 3.96 3.78 4.30 4.09 4.13 4.94 3.93 3.95 3.86 3.83 Neighborhood 2 4.32 4.23 3.78 4.10 4.35 4.21 4.36 4.21 4.02 4.05 4.29 4.12 4.59 4.12 4.02 3.85 3.97 4.28 4.39 4.14 Using the same scale, draw a box-and-whisker plot for each of the two data sets, placing the second plot below the first. Considering that high blood lead concentrations are harmful to humans, in which of the two neighborhoods would you prefer to live? neighborhood1 or neighborhood 2Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.44.4 0.6430.643 2.42.4 0.570.57 1.51.5 0.460.46 2.62.6 0.8950.895 5.95.9 0.20.2 3.43.4 0.540.54 3.83.8 0.2450.245 1.61.6 0.5830.583 5.75.7 0.7690.769 1.71.7 0.2150.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤≤μ≤ (b) Construct a 9999% confidence interval for the mean copper level in water specimans of the subdevelopment. ≤μ≤≤μ≤
- The caloric content (in calories) and sodium content (in mg) were collected for 27 beef hotdogs. The data are in the table below. X, caloric content Y, sodium content 141 386 153 401 139 322 135 298 157 440 149 319 184 482 140 326 185 486 187 499 186 495 175 479 191 591 159 374 111 300 149 379 190 587 177 429 176 425 190 645 131 317 148 375 132 253 182 481 176 483 181 477 149 322How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures, in degrees Celsius, and mean coral growth, in centimeters per year, over a several‑year period at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (b) Find the correlation ?r step by step. Round off to two decimals places in each step. First, find the mean and standard deviation of each variable. Then, find the six standardized values for each variable. Finally, use the formula for ?r . Round your answer to three decimal places.An article in the Journal of Applied Polymer Science (Vol. 56, pp. 471–476, 1995) studied the effect of the mole ratio of sebacic acid on the intrinsic viscosity of copolyesters.- The data follows: Viscosity 0.45 0.2 0.34 0.58 0.7 0.57 0.55 0.44 Mole ratio 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 (a) Construct a scatter diagram of the data.
- The data shown below represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles (such as the Chevrolet Aveo or Mini Cooper). Complete parts (a) through (c).Recently, researchers have begun to focus on the relationship between potentially toxic environmental exposures in children to a number of adverse health outcomes. Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and BMI (kg/m2). The following table represents a SRS of households with the corresponding exterior lead levels and BMI of a randomly sampled child in the home. Lead levels BMI 13.6 19.7 14.3 19.9 9.7 20.1 9.4 22.1 11.4 19.8 10.9 21.6 A) Write out the null and alternative hypotheses for a formal test of significance testing the correlation between the two variables and calulate a t statistic and interpret your pvalue and results.The article “Assessment of Dermopharmacokinetic Approach in the Bioequivalence Determination of Topical Tretinoin Gel Products” (L. Pershing, J. Nelson, et al., J Am Acad Dermatol 2003:740–751) reports that the amount of a certain antifungal ointment that is absorbed into the skin can be modeled with a lognormal distribution. Assume that the amount (in ng/cm²) of active ingredient in the skin two hours after application is lognormally distributed with μ = 2.2 and σ = 2.1. a) Find the mean amount absorbed. b) Find the median amount absorbed. c) Find the probability that the amount absorbed is more than 100 ng/cm². d) Find the probability that the amount absorbed is less than 50 ng/cm². e) Find the 80th percentile of the amount absorbed. f) Find the standard deviation of the amount absorbed.