To increase the adhesiveness of a certain rubber product, an experiment was conducted. Sixteen products were made with the new additive and another 16 without the new aditive with the following data recorded. Perform an ANOVA test to determine for significant main and interaction effects at the 0.05 level. Temperature(°C) 55 50 60 80 Without Additives 2.2 3.2 3.9 3.9 2.8 3.7 3.9 3.1 3.0 3.6 4.0 3.0 3.1 3.1 3.9 2.6 With Additives 4.4 3.8 4.0 3.5 3.9 3.8 4.1 3.6 3.9 4.0 3.7 3.8 4.3 3.6 3.6 4.0 a10 65 D

Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x,; n, = 15 875 1,080 2,330 1,850 1,860 853 1,551 1,230 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x,; n, = 14 540 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 | 1,020 In USE SALT (a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.) X1 ppm S. = ppm X2 ppm 52 ppm (b) Let u, be the…

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Assume that ρxy = .30 between weight and exercise for the population of normal adults. However, a researcher believes the relationship is stronger for children. The researcher tests a sample of 28 children and obtains an rxy = .47. Does this result support the researcher’s belief? Conduct an appropriate statistical test using an alpha level of .05.