Elementary Statistics
Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 14.2, Problem 3BSC
To determine

To explain: The reason for not using one of the x¯ andR charts when using the control charts to monitor a process.

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The table below was compiled for a middle school from the 2003 English/Language Arts PACT exam.   Grade   6 7 8 Below Basic 60 62 76 Basic 87 134 140 Proficient 87 102 100 Advanced 42 24 21   Partition the likelihood ratio test statistic into 6 independent 1 df components. What conclusions can you draw from these components?
What is the value of the maximum likelihood estimate, θ, of θ based on these data? Justify your answer. What does the value of θ suggest about the value of θ for this biased die compared with the value of θ associated with a fair, unbiased, die?
Show that L′(θ) = Cθ394(1 −2θ)604(395 −2000θ).
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