Alternative sources of energy are of increasing interest throughout the energy industry. Wind energy has great potential,
Question:
Alternative sources of energy are of increasing interest throughout the energy industry. Wind energy has great potential, but appropriate sites must be found for the turbines. To select the site for an electricity-generating wind turbine, wind speeds were recorded at several potential sites every six hours for a year. Two sites on the shore of Lake Ontario looked good. Each had a mean wind speed high enough to qualify, but we should choose the site with a higher average daily wind speed. Because the sites are near each other and the wind speeds were recorded at the same times, we should view the speeds as paired. Here are the summaries of the speeds (in kilometres per hour):
Is there a mistake in this output? Why doesn’t the Pythagorean Theorem of Statistics work here? In other words, shouldn’t SD(site2 - site4) = √SD2(site2) + SD2(site4)? But √(3.586)2 + (3.421)2 = 4.956, not 2.551 as given by the software. Explain why this happened.
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In mathematics, the Pythagorean theorem, or Pythagoras\' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
