A researcher investigates whether cold medication effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with  = 64 and  = 8. A random sample of n = 16 teenage and a sample of n = 25 adults are given the drug and then tested. On average, the teenagers scored and average of ? = 58 and the adults scored and average of M = 65.5. a. Are the data sufficient to conclude that the medication significantly reduces mental alertness in teenagers? Test with  = .01. b. Are the data sufficient to conclude that the medication significantly increases mental alertness in adults? Test with  = .01.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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A researcher investigates whether cold medication effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with  = 64 and  = 8. A random sample of n = 16 teenage and a sample of n = 25 adults are given the drug and then tested. On average, the teenagers scored and average of ? = 58 and the adults scored and average of M = 65.5.
a. Are the data sufficient to conclude that the medication significantly reduces mental alertness in teenagers? Test with  = .01.
b. Are the data sufficient to conclude that the medication significantly increases mental alertness in adults? Test with  = .01.

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