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observations on various characteristics were made using
Chapter 2, Problem 46E(choose chapter or problem)
observations on various characteristics were made using minichamheis of three different types: (1) cooler (PVC frames covered with shade cloth), (2) control (PVC frames only), and (3) warmer (PVC frames covered with plastic). One of the article's authors kindly supplied the accompany-ing data on the difference between air and soil temperatures (°C). a. Compare measures of center for the three different samples. b. Calculate, interpret, and compare the standard deviations for the three different samples. c. Do the fourth spreads for the three samples convey the same message as do the standard deviations about relative variability? d. Construct a comparative boxplot (which was included in the cited article) and comment on any interesting features.
Questions & Answers
QUESTION:
observations on various characteristics were made using minichamheis of three different types: (1) cooler (PVC frames covered with shade cloth), (2) control (PVC frames only), and (3) warmer (PVC frames covered with plastic). One of the article's authors kindly supplied the accompany-ing data on the difference between air and soil temperatures (°C). a. Compare measures of center for the three different samples. b. Calculate, interpret, and compare the standard deviations for the three different samples. c. Do the fourth spreads for the three samples convey the same message as do the standard deviations about relative variability? d. Construct a comparative boxplot (which was included in the cited article) and comment on any interesting features.
ANSWER:Answer: Step 1 of 4 a. Compare measures of center for the three different samples. Arranging the data in increasing order Using Excel function =median( ) Cooler Control Warmer 0.83 0.53 0.12 1.26 1.12 0.84 1.34 1.52 1.58 1.43 1.78 1.91 1.57 1.84 1.93 1.59 1.9 2.13 1.72 1.92 2.3 1.76 2 2.31 1.79 2.03 2.53 1.86 2.19 2.57 1.88 2.45 2.6 1.9 2.65 1.91 2.74 2.34 2.86 2.41 Median 1.76 1.9 2.305 Stdev 0.400835 0.531321 0.777873 Since all three distributions are somewhat skewed and two contain outliers, medians are the more appropriate central measures. The medians are Cooler: 1.760°C, Control: 1.900°C, Warmer: 2.305°C The median difference between air and soil temperature increases as the conditions of the mini chambers transition from cooler to warmer (1.76 < 1.9 < 2.305).