The amount of a particular impurity in a batch of a certain chemical product is a random variable with mean value 4.0 g and standard deviation 1.5 g. If 100 batches are independently prepared, what is the (approximate) probability that the sample average amount of impurity X is between 3.5 and 3.8 g?
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5 g) and n is the number of batches (100). SE = 1.5 / sqrt(100) = 1.5 / 10 = 0.15 g Show more…
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The amount of a particular impurity in a batch of a certain chemical product is a random variable with mean value 4.0 g and standard deviation 1.5 g. If n = 50 batches are independently prepared, what is the probability that the sample average amount of impurity is between 3.5 and 3.8 g? 0.1736 0.0091 0.1645 0.1827
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When a batch of a certain chemical product is prepared, the amount of a particular impurity in the batch is a random variable with mean value 4 g and standard deviation 1.5 g. If 50 batches are independently prepared. a) What is the (approximate) probability that the sample average amount of impurity X̄ is between 3.5 and 4.1 g? P(3.5 ≤ X̄ ≤ 4.1) = 0.4576 b) What is the (approximate) probability that the sample average amount of impurity X̄ is between 3.8 and 4 g? P(3.8 ≤ X̄ ≤ 4) = 0.3264
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