5. Two different box-filling machines are used on an assembly line. The critical measurement 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 o²=5 ounces. Experiments are conducted using both machines with sample sizes of 49 each. The sample averages for machines A and B are XA = 22.7 ounces and x = 22.9 ounces. Engineers are surprised that the two sample averages for the filling machines are so different. Complete parts (a) and (b) below. A. Use the Central Limit Theorem to determine P(XB-X₁20.2) under the condition that μA = μle. B. Do the aforementioned experiments seem to, in any way, strongly support a conjecture that the population means for the two machines are different? Explain using your answer in (a).
5. Two different box-filling machines are used on an assembly line. The critical measurement 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 o²=5 ounces. Experiments are conducted using both machines with sample sizes of 49 each. The sample averages for machines A and B are XA = 22.7 ounces and x = 22.9 ounces. Engineers are surprised that the two sample averages for the filling machines are so different. Complete parts (a) and (b) below. A. Use the Central Limit Theorem to determine P(XB-X₁20.2) under the condition that μA = μle. B. Do the aforementioned experiments seem to, in any way, strongly support a conjecture that the population means for the two machines are different? Explain using your answer in (a).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help solving part a and b of the following question attached.
Transcribed Image Text:5. Two different box-filling machines are used on an assembly line. The critical measurement
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 o² = 5 ounces. Experiments are conducted
using both machines with sample sizes of 49 each. The sample averages for machines A and B
are XA = 22.7 ounces and X = 22.9 ounces. Engineers are surprised that the two sample
averages for the filling machines are so different. Complete parts (a) and (b) below.
A. Use the Central Limit Theorem to determine P(XB-X₁ ≥ 0.2) under the condition
that μA = μB.
B. Do the aforementioned experiments seem to, in any way, strongly support a conjecture
that the population means for the two machines are different? Explain using your answer
in (a).
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