The elasticity of a polymer is affected by the concentration of a reactant. Two random samples of size 20 are taken. When low concentration is used, the true mean elasticity is 56 and a standard deviation of elasticity is 4. Meanwhile, when high concentration is used the mean elasticity is 60 and a standard deviation of elasticity is 4. (a) Define the sampling distribution of (XHigh-XLow). (b) Find the probability that (XHigh-Low) ≥ 2.

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QUESTION 6
The elasticity of a polymer is affected by the concentration of a reactant. Two random
samples of size 20 are taken. When low concentration is used, the true mean elasticity
is 56 and a standard deviation of elasticity is 4. Meanwhile, when high concentration
is used the mean elasticity is 60 and a standard deviation of elasticity is 4.
(a) Define the sampling distribution of (XHigh-XLow).
(b) Find the probability that (XHigh-Low) ≥ 2.
(a) ANSWER: N(4, 1.6)
(b) ANSWER: 0.942947
Transcribed Image Text:QUESTION 6 The elasticity of a polymer is affected by the concentration of a reactant. Two random samples of size 20 are taken. When low concentration is used, the true mean elasticity is 56 and a standard deviation of elasticity is 4. Meanwhile, when high concentration is used the mean elasticity is 60 and a standard deviation of elasticity is 4. (a) Define the sampling distribution of (XHigh-XLow). (b) Find the probability that (XHigh-Low) ≥ 2. (a) ANSWER: N(4, 1.6) (b) ANSWER: 0.942947
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