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    Phoniex University
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Category > Management Posted 29 Oct 2017 My Price 5.00

Central Limit Theorem

4.24    Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measure- ment influenced by these machines is the weight of the product in the boxes. Engineers are quite certain that the variance of the weight of product is σ2 = 1 ounce. Experiments are conducted using both machines with sample sizes of 36 each. The sample averages for ma- chines A and B are x¯A = 4.5 ounces and x¯B = 4.7 ounces. Engineers are surprised that the two sample averages for the filling machines are so different.

(a)   Use the Central Limit Theorem to determine

P (X¯B  − X¯A   ≥ 0.2)

under the condition that μA = μB .

(b)   Do the aforementioned experiments seem to, in any way, strongly support a conjecture that the popu- lation means for the two machines are different? Explain using your answer in (a).

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Maurice Tutor
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Status NEW Posted 29 Oct 2017 08:10 AM My Price 5.00

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