Question 1134476: A journal published a study of travelers' familiarity with ecolabels used by hotels. Adult travelers were shown a list of 6 different ecolabels, and asked, "How familiar are you with this ecolabel?" Suppose the response is measured on a continuous scale from 10 (not familiar at all) to 50 (very familiar), and the mean and standard deviation for ecolabel E are 44 and 1.5, respectively. Assume the distribution of responses is approximately normal.
a. Find the probability that a response to ecolabel E exceeds 43.
The probability is
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1:17): A journal published a study of travelers' familiarity with ecolabels used by hotels. Adult travelers were shown a list of 6 different ecolabels, and asked, "How familiar are you with this ecolabel?" Suppose the response is measured on a continuous scale from 10 (not familiar at all) to 50 (very familiar), and the mean and standard deviation for ecolabel E are 44 and 1.5, respectively. Assume the distribution of responses is approximately normal.
a. Find the probability that a response to ecolabel E exceeds 43.
z(43) = (43-44)/1.5 = -1/1.5 = -2/3
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Ans:: P(x > 43) = P(z > -2/3) = 1-normalcdf(-100,-2/3) = 0.7475
Cheers,
Stan H.
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The probability is 0.7475
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