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Over a long period of time, the production of 1000 high-quality hammers in a factory seems to have reached a weight with an average of 884g and standard deviation of 41.9g. Propose a model for the weight of the hammers including a probability distribution for the weight. Provide all the assumptions needed for this model to hold (even the uncertain ones)? What parameters does this model have? Does the new system make lower weights? To answer this question, a random sample of newly produced hammers is evaluated yielding the weights in 959, 824, 795, 811, 895, 987, 744, 914, 807, 786. What hypotheses can you propose to test the question? What test and decision rule can you make to estimate if the new system answers the given question? Express the decision rules as logical statements involving critical values. What error probabilities can you suggest and why? Perform the test and draw the conclusion to answer the question.

Over a long period of time, the production of 1000 high-quality hammers in a factory seems to have reached a weight with an average of 884g and standard deviation of 41.9g. Propose a model for the weight of the hammers including a probability distribution for the weight. Provide all the assumptions needed for this model to hold (even the uncertain ones)? What parameters does this model have? Does the new system make lower weights? To answer this question, a random sample of newly produced hammers is evaluated yielding the weights in 959, 824, 795, 811, 895, 987, 744, 914, 807, 786. What hypotheses can you propose to test the question? What test and decision rule can you make to estimate if the new system answers the given question? Express the decision rules as logical statements involving critical values. What error probabilities can you suggest and why? Perform the test and draw the conclusion to answer the question.

MATLAB: An Introduction with Applications
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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Over a long period of time, the production of 1000 high-quality hammers in a factory seems to have reached a weight with an average of 884g and standard deviation of 41.9g. Propose a model for the weight of the hammers including a probability distribution for the weight. Provide all the assumptions needed for this model to hold (even the uncertain ones)? What parameters does this model have? Does the new system make lower weights? To answer this question, a random sample of newly produced hammers is evaluated yielding the weights in 959, 824, 795, 811, 895, 987, 744, 914, 807, 786. What hypotheses can you propose to test the question? What test and decision rule can you make to estimate if the new system answers the given question? Express the decision rules as logical statements involving critical values. What error probabilities can you suggest and why? Perform the test and draw the conclusion to answer the question.
Transcribed Image Text:Over a long period of time, the production of 1000 high-quality hammers in a factory seems to have reached a weight with an average of 884g and standard deviation of 41.9g. Propose a model for the weight of the hammers including a probability distribution for the weight. Provide all the assumptions needed for this model to hold (even the uncertain ones)? What parameters does this model have? Does the new system make lower weights? To answer this question, a random sample of newly produced hammers is evaluated yielding the weights in 959, 824, 795, 811, 895, 987, 744, 914, 807, 786. What hypotheses can you propose to test the question? What test and decision rule can you make to estimate if the new system answers the given question? Express the decision rules as logical statements involving critical values. What error probabilities can you suggest and why? Perform the test and draw the conclusion to answer the question.
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